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Finding the Fourth Proportional to 23,807.54, 32,854.77 and 13,052.28

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Solution

The fourth proportional to 23,807.54, 32,854.77 and 13,052.28 is: 18,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807.54 : 32,854.77 = 13,052.28 : x
  2. Step 2: Convert to fraction form
    23,807.54/32,854.77 = 13,052.28/x
  3. Step 3: Cross multiply
    23,807.54x = 32,854.77 × 13,052.28
  4. Step 4: Simplify right side
    23,807.54x = 428,829,657.38
  5. Step 5: Solve for x
    x = 428,829,657.38/23,807.54
  6. Step 6: Final answer
    x = 18,012.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.