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Finding the Fourth Proportional to 17,927.16, 24,740.09 and 9,861.17

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Solution

The fourth proportional to 17,927.16, 24,740.09 and 9,861.17 is: 13,608.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.16 : 24,740.09 = 9,861.17 : x
  2. Step 2: Convert to fraction form
    17,927.16/24,740.09 = 9,861.17/x
  3. Step 3: Cross multiply
    17,927.16x = 24,740.09 × 9,861.17
  4. Step 4: Simplify right side
    17,927.16x = 243,966,060.30
  5. Step 5: Solve for x
    x = 243,966,060.30/17,927.16
  6. Step 6: Final answer
    x = 13,608.74

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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.