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Finding the Fourth Proportional to 15,754.35, 23,623.32 and 7,432.13

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Solution

The fourth proportional to 15,754.35, 23,623.32 and 7,432.13 is: 11,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.35 : 23,623.32 = 7,432.13 : x
  2. Step 2: Convert to fraction form
    15,754.35/23,623.32 = 7,432.13/x
  3. Step 3: Cross multiply
    15,754.35x = 23,623.32 × 7,432.13
  4. Step 4: Simplify right side
    15,754.35x = 175,571,585.27
  5. Step 5: Solve for x
    x = 175,571,585.27/15,754.35
  6. Step 6: Final answer
    x = 11,144.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.