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Finding the Fourth Proportional to 16,358.83, 22,574.95 and 9,644.74

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Solution

The fourth proportional to 16,358.83, 22,574.95 and 9,644.74 is: 13,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,358.83 : 22,574.95 = 9,644.74 : x
  2. Step 2: Convert to fraction form
    16,358.83/22,574.95 = 9,644.74/x
  3. Step 3: Cross multiply
    16,358.83x = 22,574.95 × 9,644.74
  4. Step 4: Simplify right side
    16,358.83x = 217,729,523.26
  5. Step 5: Solve for x
    x = 217,729,523.26/16,358.83
  6. Step 6: Final answer
    x = 13,309.60

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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.