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Finding the Fourth Proportional to 19,820.68, 29,715.09 and 13,565.32

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Solution

The fourth proportional to 19,820.68, 29,715.09 and 13,565.32 is: 20,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.68 : 29,715.09 = 13,565.32 : x
  2. Step 2: Convert to fraction form
    19,820.68/29,715.09 = 13,565.32/x
  3. Step 3: Cross multiply
    19,820.68x = 29,715.09 × 13,565.32
  4. Step 4: Simplify right side
    19,820.68x = 403,094,704.68
  5. Step 5: Solve for x
    x = 403,094,704.68/19,820.68
  6. Step 6: Final answer
    x = 20,337.08

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