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Finding the Fourth Proportional to 23,324.68, 32,188.06 and 12,714.32

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Solution

The fourth proportional to 23,324.68, 32,188.06 and 12,714.32 is: 17,545.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,324.68 : 32,188.06 = 12,714.32 : x
  2. Step 2: Convert to fraction form
    23,324.68/32,188.06 = 12,714.32/x
  3. Step 3: Cross multiply
    23,324.68x = 32,188.06 × 12,714.32
  4. Step 4: Simplify right side
    23,324.68x = 409,249,102.29
  5. Step 5: Solve for x
    x = 409,249,102.29/23,324.68
  6. Step 6: Final answer
    x = 17,545.76

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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.