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Finding the Fourth Proportional to 22,499.47, 31,048.21 and 12,428.64

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Solution

The fourth proportional to 22,499.47, 31,048.21 and 12,428.64 is: 17,150.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.47 : 31,048.21 = 12,428.64 : x
  2. Step 2: Convert to fraction form
    22,499.47/31,048.21 = 12,428.64/x
  3. Step 3: Cross multiply
    22,499.47x = 31,048.21 × 12,428.64
  4. Step 4: Simplify right side
    22,499.47x = 385,887,040.27
  5. Step 5: Solve for x
    x = 385,887,040.27/22,499.47
  6. Step 6: Final answer
    x = 17,150.94

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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.