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Finding the Fourth Proportional to 21,188.16, 31,792.56 and 8,711.94

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Solution

The fourth proportional to 21,188.16, 31,792.56 and 8,711.94 is: 13,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.16 : 31,792.56 = 8,711.94 : x
  2. Step 2: Convert to fraction form
    21,188.16/31,792.56 = 8,711.94/x
  3. Step 3: Cross multiply
    21,188.16x = 31,792.56 × 8,711.94
  4. Step 4: Simplify right side
    21,188.16x = 276,974,875.17
  5. Step 5: Solve for x
    x = 276,974,875.17/21,188.16
  6. Step 6: Final answer
    x = 13,072.15

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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.