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Finding the Fourth Proportional to 23,446.65, 32,355.54 and 13,378.31

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Solution

The fourth proportional to 23,446.65, 32,355.54 and 13,378.31 is: 18,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,446.65 : 32,355.54 = 13,378.31 : x
  2. Step 2: Convert to fraction form
    23,446.65/32,355.54 = 13,378.31/x
  3. Step 3: Cross multiply
    23,446.65x = 32,355.54 × 13,378.31
  4. Step 4: Simplify right side
    23,446.65x = 432,862,282.56
  5. Step 5: Solve for x
    x = 432,862,282.56/23,446.65
  6. Step 6: Final answer
    x = 18,461.58

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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.