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Finding the Fourth Proportional to 16,985.86, 23,440.88 and 9,432

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Solution

The fourth proportional to 16,985.86, 23,440.88 and 9,432 is: 13,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.86 : 23,440.88 = 9,432 : x
  2. Step 2: Convert to fraction form
    16,985.86/23,440.88 = 9,432/x
  3. Step 3: Cross multiply
    16,985.86x = 23,440.88 × 9,432
  4. Step 4: Simplify right side
    16,985.86x = 221,094,380.16
  5. Step 5: Solve for x
    x = 221,094,380.16/16,985.86
  6. Step 6: Final answer
    x = 13,016.38

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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.