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Finding the Fourth Proportional to 13,368.23, 20,045.59 and 7,823.24

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Solution

The fourth proportional to 13,368.23, 20,045.59 and 7,823.24 is: 11,730.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,368.23 : 20,045.59 = 7,823.24 : x
  2. Step 2: Convert to fraction form
    13,368.23/20,045.59 = 7,823.24/x
  3. Step 3: Cross multiply
    13,368.23x = 20,045.59 × 7,823.24
  4. Step 4: Simplify right side
    13,368.23x = 156,821,461.51
  5. Step 5: Solve for x
    x = 156,821,461.51/13,368.23
  6. Step 6: Final answer
    x = 11,730.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.