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Finding the Fourth Proportional to 15,813.86, 21,823.29 and 8,740.53

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Solution

The fourth proportional to 15,813.86, 21,823.29 and 8,740.53 is: 12,062.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.86 : 21,823.29 = 8,740.53 : x
  2. Step 2: Convert to fraction form
    15,813.86/21,823.29 = 8,740.53/x
  3. Step 3: Cross multiply
    15,813.86x = 21,823.29 × 8,740.53
  4. Step 4: Simplify right side
    15,813.86x = 190,747,120.94
  5. Step 5: Solve for x
    x = 190,747,120.94/15,813.86
  6. Step 6: Final answer
    x = 12,062.03

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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.