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Finding the Fourth Proportional to 15,973.40, 23,951.92 and 8,584.08

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Solution

The fourth proportional to 15,973.40, 23,951.92 and 8,584.08 is: 12,871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,973.40 : 23,951.92 = 8,584.08 : x
  2. Step 2: Convert to fraction form
    15,973.40/23,951.92 = 8,584.08/x
  3. Step 3: Cross multiply
    15,973.40x = 23,951.92 × 8,584.08
  4. Step 4: Simplify right side
    15,973.40x = 205,605,197.43
  5. Step 5: Solve for x
    x = 205,605,197.43/15,973.40
  6. Step 6: Final answer
    x = 12,871.72

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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.