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Finding the Fourth Proportional to 23,427.72, 32,337.78 and 15,477

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Solution

The fourth proportional to 23,427.72, 32,337.78 and 15,477 is: 21,363.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427.72 : 32,337.78 = 15,477 : x
  2. Step 2: Convert to fraction form
    23,427.72/32,337.78 = 15,477/x
  3. Step 3: Cross multiply
    23,427.72x = 32,337.78 × 15,477
  4. Step 4: Simplify right side
    23,427.72x = 500,491,821.06
  5. Step 5: Solve for x
    x = 500,491,821.06/23,427.72
  6. Step 6: Final answer
    x = 21,363.23

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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.