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Finding the Fourth Proportional to 18,843.16, 26,002.26 and 10,459

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Solution

The fourth proportional to 18,843.16, 26,002.26 and 10,459 is: 14,432.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,843.16 : 26,002.26 = 10,459 : x
  2. Step 2: Convert to fraction form
    18,843.16/26,002.26 = 10,459/x
  3. Step 3: Cross multiply
    18,843.16x = 26,002.26 × 10,459
  4. Step 4: Simplify right side
    18,843.16x = 271,957,637.34
  5. Step 5: Solve for x
    x = 271,957,637.34/18,843.16
  6. Step 6: Final answer
    x = 14,432.70

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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.