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Finding the Fourth Proportional to 23,164.57, 34,752.93 and 10,013.82

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Solution

The fourth proportional to 23,164.57, 34,752.93 and 10,013.82 is: 15,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.57 : 34,752.93 = 10,013.82 : x
  2. Step 2: Convert to fraction form
    23,164.57/34,752.93 = 10,013.82/x
  3. Step 3: Cross multiply
    23,164.57x = 34,752.93 × 10,013.82
  4. Step 4: Simplify right side
    23,164.57x = 348,009,585.49
  5. Step 5: Solve for x
    x = 348,009,585.49/23,164.57
  6. Step 6: Final answer
    x = 15,023.36

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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.