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Finding the Fourth Proportional to 23,497.98, 32,427 and 12,887.40

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Solution

The fourth proportional to 23,497.98, 32,427 and 12,887.40 is: 17,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.98 : 32,427 = 12,887.40 : x
  2. Step 2: Convert to fraction form
    23,497.98/32,427 = 12,887.40/x
  3. Step 3: Cross multiply
    23,497.98x = 32,427 × 12,887.40
  4. Step 4: Simplify right side
    23,497.98x = 417,899,719.80
  5. Step 5: Solve for x
    x = 417,899,719.80/23,497.98
  6. Step 6: Final answer
    x = 17,784.50

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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.