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Finding the Fourth Proportional to 23,760.40, 32,789.28 and 13,005.40

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Solution

The fourth proportional to 23,760.40, 32,789.28 and 13,005.40 is: 17,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760.40 : 32,789.28 = 13,005.40 : x
  2. Step 2: Convert to fraction form
    23,760.40/32,789.28 = 13,005.40/x
  3. Step 3: Cross multiply
    23,760.40x = 32,789.28 × 13,005.40
  4. Step 4: Simplify right side
    23,760.40x = 426,437,702.11
  5. Step 5: Solve for x
    x = 426,437,702.11/23,760.40
  6. Step 6: Final answer
    x = 17,947.41

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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.