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Finding the Fourth Proportional to 16,894.89, 23,314.92 and 9,442.89

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Solution

The fourth proportional to 16,894.89, 23,314.92 and 9,442.89 is: 13,031.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.89 : 23,314.92 = 9,442.89 : x
  2. Step 2: Convert to fraction form
    16,894.89/23,314.92 = 9,442.89/x
  3. Step 3: Cross multiply
    16,894.89x = 23,314.92 × 9,442.89
  4. Step 4: Simplify right side
    16,894.89x = 220,160,224.92
  5. Step 5: Solve for x
    x = 220,160,224.92/16,894.89
  6. Step 6: Final answer
    x = 13,031.17

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1.5x scale

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.