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Finding the Fourth Proportional to 15,758.73, 21,746.97 and 8,685

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Solution

The fourth proportional to 15,758.73, 21,746.97 and 8,685 is: 11,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.73 : 21,746.97 = 8,685 : x
  2. Step 2: Convert to fraction form
    15,758.73/21,746.97 = 8,685/x
  3. Step 3: Cross multiply
    15,758.73x = 21,746.97 × 8,685
  4. Step 4: Simplify right side
    15,758.73x = 188,872,434.45
  5. Step 5: Solve for x
    x = 188,872,434.45/15,758.73
  6. Step 6: Final answer
    x = 11,985.26

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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.