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Finding the Fourth Proportional to 22,488.81, 31,036.59 and 12,419.43

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Solution

The fourth proportional to 22,488.81, 31,036.59 and 12,419.43 is: 17,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.81 : 31,036.59 = 12,419.43 : x
  2. Step 2: Convert to fraction form
    22,488.81/31,036.59 = 12,419.43/x
  3. Step 3: Cross multiply
    22,488.81x = 31,036.59 × 12,419.43
  4. Step 4: Simplify right side
    22,488.81x = 385,456,756.94
  5. Step 5: Solve for x
    x = 385,456,756.94/22,488.81
  6. Step 6: Final answer
    x = 17,139.94

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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.