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Finding the Fourth Proportional to 17,638.52, 26,465.88 and 7,646.31

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Solution

The fourth proportional to 17,638.52, 26,465.88 and 7,646.31 is: 11,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.52 : 26,465.88 = 7,646.31 : x
  2. Step 2: Convert to fraction form
    17,638.52/26,465.88 = 7,646.31/x
  3. Step 3: Cross multiply
    17,638.52x = 26,465.88 × 7,646.31
  4. Step 4: Simplify right side
    17,638.52x = 202,366,284.67
  5. Step 5: Solve for x
    x = 202,366,284.67/17,638.52
  6. Step 6: Final answer
    x = 11,472.98

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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.