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Finding the Fourth Proportional to 23,004, 31,732.56 and 15,044.40

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Solution

The fourth proportional to 23,004, 31,732.56 and 15,044.40 is: 20,752.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,004 : 31,732.56 = 15,044.40 : x
  2. Step 2: Convert to fraction form
    23,004/31,732.56 = 15,044.40/x
  3. Step 3: Cross multiply
    23,004x = 31,732.56 × 15,044.40
  4. Step 4: Simplify right side
    23,004x = 477,397,325.66
  5. Step 5: Solve for x
    x = 477,397,325.66/23,004
  6. Step 6: Final answer
    x = 20,752.80

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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.