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Finding the Fourth Proportional to 16,424.40, 22,666.50 and 10,049.00

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Solution

The fourth proportional to 16,424.40, 22,666.50 and 10,049.00 is: 13,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.40 : 22,666.50 = 10,049.00 : x
  2. Step 2: Convert to fraction form
    16,424.40/22,666.50 = 10,049.00/x
  3. Step 3: Cross multiply
    16,424.40x = 22,666.50 × 10,049.00
  4. Step 4: Simplify right side
    16,424.40x = 227,775,494.92
  5. Step 5: Solve for x
    x = 227,775,494.92/16,424.40
  6. Step 6: Final answer
    x = 13,868.12

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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.