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Finding the Fourth Proportional to 16,407, 22,641.84 and 8,955

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Solution

The fourth proportional to 16,407, 22,641.84 and 8,955 is: 12,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407 : 22,641.84 = 8,955 : x
  2. Step 2: Convert to fraction form
    16,407/22,641.84 = 8,955/x
  3. Step 3: Cross multiply
    16,407x = 22,641.84 × 8,955
  4. Step 4: Simplify right side
    16,407x = 202,757,677.20
  5. Step 5: Solve for x
    x = 202,757,677.20/16,407
  6. Step 6: Final answer
    x = 12,358.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.