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Finding the Fourth Proportional to 16,330.68, 22,537.80 and 9,259.32

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Solution

The fourth proportional to 16,330.68, 22,537.80 and 9,259.32 is: 12,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,330.68 : 22,537.80 = 9,259.32 : x
  2. Step 2: Convert to fraction form
    16,330.68/22,537.80 = 9,259.32/x
  3. Step 3: Cross multiply
    16,330.68x = 22,537.80 × 9,259.32
  4. Step 4: Simplify right side
    16,330.68x = 208,684,702.30
  5. Step 5: Solve for x
    x = 208,684,702.30/16,330.68
  6. Step 6: Final answer
    x = 12,778.69

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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.