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Finding the Fourth Proportional to 12,509.25, 18,739.17 and 9,392.91

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Solution

The fourth proportional to 12,509.25, 18,739.17 and 9,392.91 is: 14,070.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.25 : 18,739.17 = 9,392.91 : x
  2. Step 2: Convert to fraction form
    12,509.25/18,739.17 = 9,392.91/x
  3. Step 3: Cross multiply
    12,509.25x = 18,739.17 × 9,392.91
  4. Step 4: Simplify right side
    12,509.25x = 176,015,337.28
  5. Step 5: Solve for x
    x = 176,015,337.28/12,509.25
  6. Step 6: Final answer
    x = 14,070.81

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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.