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Finding the Fourth Proportional to 16,257.08, 22,434.08 and 9,184.16

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Solution

The fourth proportional to 16,257.08, 22,434.08 and 9,184.16 is: 12,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.08 : 22,434.08 = 9,184.16 : x
  2. Step 2: Convert to fraction form
    16,257.08/22,434.08 = 9,184.16/x
  3. Step 3: Cross multiply
    16,257.08x = 22,434.08 × 9,184.16
  4. Step 4: Simplify right side
    16,257.08x = 206,038,180.17
  5. Step 5: Solve for x
    x = 206,038,180.17/16,257.08
  6. Step 6: Final answer
    x = 12,673.75

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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.