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Finding the Fourth Proportional to 23,497.92, 32,424.54 and 12,887.46

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Solution

The fourth proportional to 23,497.92, 32,424.54 and 12,887.46 is: 17,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.92 : 32,424.54 = 12,887.46 : x
  2. Step 2: Convert to fraction form
    23,497.92/32,424.54 = 12,887.46/x
  3. Step 3: Cross multiply
    23,497.92x = 32,424.54 × 12,887.46
  4. Step 4: Simplify right side
    23,497.92x = 417,869,962.27
  5. Step 5: Solve for x
    x = 417,869,962.27/23,497.92
  6. Step 6: Final answer
    x = 17,783.27

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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.