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Finding the Fourth Proportional to 15,724.88, 23,567.88 and 7,935.92

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Solution

The fourth proportional to 15,724.88, 23,567.88 and 7,935.92 is: 11,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,724.88 : 23,567.88 = 7,935.92 : x
  2. Step 2: Convert to fraction form
    15,724.88/23,567.88 = 7,935.92/x
  3. Step 3: Cross multiply
    15,724.88x = 23,567.88 × 7,935.92
  4. Step 4: Simplify right side
    15,724.88x = 187,032,810.25
  5. Step 5: Solve for x
    x = 187,032,810.25/15,724.88
  6. Step 6: Final answer
    x = 11,894.07

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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.