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Finding the Fourth Proportional to 18,417.68, 25,416.24 and 10,034

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Solution

The fourth proportional to 18,417.68, 25,416.24 and 10,034 is: 13,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,417.68 : 25,416.24 = 10,034 : x
  2. Step 2: Convert to fraction form
    18,417.68/25,416.24 = 10,034/x
  3. Step 3: Cross multiply
    18,417.68x = 25,416.24 × 10,034
  4. Step 4: Simplify right side
    18,417.68x = 255,026,552.16
  5. Step 5: Solve for x
    x = 255,026,552.16/18,417.68
  6. Step 6: Final answer
    x = 13,846.83

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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.