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Finding the Fourth Proportional to 15,081.96, 20,813.76 and 10,038.12

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Solution

The fourth proportional to 15,081.96, 20,813.76 and 10,038.12 is: 13,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,081.96 : 20,813.76 = 10,038.12 : x
  2. Step 2: Convert to fraction form
    15,081.96/20,813.76 = 10,038.12/x
  3. Step 3: Cross multiply
    15,081.96x = 20,813.76 × 10,038.12
  4. Step 4: Simplify right side
    15,081.96x = 208,931,020.53
  5. Step 5: Solve for x
    x = 208,931,020.53/15,081.96
  6. Step 6: Final answer
    x = 13,853.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.