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Finding the Fourth Proportional to 23,314.20, 34,985.84 and 9,463.20

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Solution

The fourth proportional to 23,314.20, 34,985.84 and 9,463.20 is: 14,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.20 : 34,985.84 = 9,463.20 : x
  2. Step 2: Convert to fraction form
    23,314.20/34,985.84 = 9,463.20/x
  3. Step 3: Cross multiply
    23,314.20x = 34,985.84 × 9,463.20
  4. Step 4: Simplify right side
    23,314.20x = 331,078,001.09
  5. Step 5: Solve for x
    x = 331,078,001.09/23,314.20
  6. Step 6: Final answer
    x = 14,200.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.