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Finding the Fourth Proportional to 24,869.90, 37,303.64 and 9,286.31

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Solution

The fourth proportional to 24,869.90, 37,303.64 and 9,286.31 is: 13,929.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,869.90 : 37,303.64 = 9,286.31 : x
  2. Step 2: Convert to fraction form
    24,869.90/37,303.64 = 9,286.31/x
  3. Step 3: Cross multiply
    24,869.90x = 37,303.64 × 9,286.31
  4. Step 4: Simplify right side
    24,869.90x = 346,413,246.82
  5. Step 5: Solve for x
    x = 346,413,246.82/24,869.90
  6. Step 6: Final answer
    x = 13,929.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.