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Finding the Fourth Proportional to 21,487.46, 29,652.56 and 12,056

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Solution

The fourth proportional to 21,487.46, 29,652.56 and 12,056 is: 16,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,487.46 : 29,652.56 = 12,056 : x
  2. Step 2: Convert to fraction form
    21,487.46/29,652.56 = 12,056/x
  3. Step 3: Cross multiply
    21,487.46x = 29,652.56 × 12,056
  4. Step 4: Simplify right side
    21,487.46x = 357,491,263.36
  5. Step 5: Solve for x
    x = 357,491,263.36/21,487.46
  6. Step 6: Final answer
    x = 16,637.20

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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.