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Finding the Fourth Proportional to 16,339, 22,547.84 and 8,887

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Solution

The fourth proportional to 16,339, 22,547.84 and 8,887 is: 12,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339 : 22,547.84 = 8,887 : x
  2. Step 2: Convert to fraction form
    16,339/22,547.84 = 8,887/x
  3. Step 3: Cross multiply
    16,339x = 22,547.84 × 8,887
  4. Step 4: Simplify right side
    16,339x = 200,382,654.08
  5. Step 5: Solve for x
    x = 200,382,654.08/16,339
  6. Step 6: Final answer
    x = 12,264.07

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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.