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Finding the Fourth Proportional to 12,564.24, 17,337.36 and 7,260.76

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Solution

The fourth proportional to 12,564.24, 17,337.36 and 7,260.76 is: 10,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.24 : 17,337.36 = 7,260.76 : x
  2. Step 2: Convert to fraction form
    12,564.24/17,337.36 = 7,260.76/x
  3. Step 3: Cross multiply
    12,564.24x = 17,337.36 × 7,260.76
  4. Step 4: Simplify right side
    12,564.24x = 125,882,409.99
  5. Step 5: Solve for x
    x = 125,882,409.99/12,564.24
  6. Step 6: Final answer
    x = 10,019.10

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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.