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Finding the Fourth Proportional to 20,781.60, 31,156.20 and 11,547.60

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Solution

The fourth proportional to 20,781.60, 31,156.20 and 11,547.60 is: 17,312.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.60 : 31,156.20 = 11,547.60 : x
  2. Step 2: Convert to fraction form
    20,781.60/31,156.20 = 11,547.60/x
  3. Step 3: Cross multiply
    20,781.60x = 31,156.20 × 11,547.60
  4. Step 4: Simplify right side
    20,781.60x = 359,779,335.12
  5. Step 5: Solve for x
    x = 359,779,335.12/20,781.60
  6. Step 6: Final answer
    x = 17,312.40

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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.