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Finding the Fourth Proportional to 24,866.63, 37,309.66 and 9,285.47

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Solution

The fourth proportional to 24,866.63, 37,309.66 and 9,285.47 is: 13,931.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.63 : 37,309.66 = 9,285.47 : x
  2. Step 2: Convert to fraction form
    24,866.63/37,309.66 = 9,285.47/x
  3. Step 3: Cross multiply
    24,866.63x = 37,309.66 × 9,285.47
  4. Step 4: Simplify right side
    24,866.63x = 346,437,711.02
  5. Step 5: Solve for x
    x = 346,437,711.02/24,866.63
  6. Step 6: Final answer
    x = 13,931.83

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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.