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Finding the Fourth Proportional to 23,498.86, 32,429.11 and 12,889.18

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Solution

The fourth proportional to 23,498.86, 32,429.11 and 12,889.18 is: 17,787.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.86 : 32,429.11 = 12,889.18 : x
  2. Step 2: Convert to fraction form
    23,498.86/32,429.11 = 12,889.18/x
  3. Step 3: Cross multiply
    23,498.86x = 32,429.11 × 12,889.18
  4. Step 4: Simplify right side
    23,498.86x = 417,984,486.10
  5. Step 5: Solve for x
    x = 417,984,486.10/23,498.86
  6. Step 6: Final answer
    x = 17,787.44

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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.