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Finding the Fourth Proportional to 13,712.50, 18,923.40 and 7,425.02

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Solution

The fourth proportional to 13,712.50, 18,923.40 and 7,425.02 is: 10,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.50 : 18,923.40 = 7,425.02 : x
  2. Step 2: Convert to fraction form
    13,712.50/18,923.40 = 7,425.02/x
  3. Step 3: Cross multiply
    13,712.50x = 18,923.40 × 7,425.02
  4. Step 4: Simplify right side
    13,712.50x = 140,506,623.47
  5. Step 5: Solve for x
    x = 140,506,623.47/13,712.50
  6. Step 6: Final answer
    x = 10,246.61

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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.