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Finding the Fourth Proportional to 23,432.72, 32,347.72 and 14,946.24

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Solution

The fourth proportional to 23,432.72, 32,347.72 and 14,946.24 is: 20,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432.72 : 32,347.72 = 14,946.24 : x
  2. Step 2: Convert to fraction form
    23,432.72/32,347.72 = 14,946.24/x
  3. Step 3: Cross multiply
    23,432.72x = 32,347.72 × 14,946.24
  4. Step 4: Simplify right side
    23,432.72x = 483,476,786.57
  5. Step 5: Solve for x
    x = 483,476,786.57/23,432.72
  6. Step 6: Final answer
    x = 20,632.55

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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.