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Finding the Fourth Proportional to 21,691.67, 29,931.32 and 12,742.07

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Solution

The fourth proportional to 21,691.67, 29,931.32 and 12,742.07 is: 17,582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.67 : 29,931.32 = 12,742.07 : x
  2. Step 2: Convert to fraction form
    21,691.67/29,931.32 = 12,742.07/x
  3. Step 3: Cross multiply
    21,691.67x = 29,931.32 × 12,742.07
  4. Step 4: Simplify right side
    21,691.67x = 381,386,856.83
  5. Step 5: Solve for x
    x = 381,386,856.83/21,691.67
  6. Step 6: Final answer
    x = 17,582.18

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