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Finding the Fourth Proportional to 16,987, 23,442.06 and 9,535

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Solution

The fourth proportional to 16,987, 23,442.06 and 9,535 is: 13,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987 : 23,442.06 = 9,535 : x
  2. Step 2: Convert to fraction form
    16,987/23,442.06 = 9,535/x
  3. Step 3: Cross multiply
    16,987x = 23,442.06 × 9,535
  4. Step 4: Simplify right side
    16,987x = 223,520,042.10
  5. Step 5: Solve for x
    x = 223,520,042.10/16,987
  6. Step 6: Final answer
    x = 13,158.30

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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.