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Finding the Fourth Proportional to 12,740.47, 17,582.99 and 7,436.99

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Solution

The fourth proportional to 12,740.47, 17,582.99 and 7,436.99 is: 10,263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.47 : 17,582.99 = 7,436.99 : x
  2. Step 2: Convert to fraction form
    12,740.47/17,582.99 = 7,436.99/x
  3. Step 3: Cross multiply
    12,740.47x = 17,582.99 × 7,436.99
  4. Step 4: Simplify right side
    12,740.47x = 130,764,527.57
  5. Step 5: Solve for x
    x = 130,764,527.57/12,740.47
  6. Step 6: Final answer
    x = 10,263.72

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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.