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Finding the Fourth Proportional to 17,746.32, 24,494.19 and 10,671.38

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Solution

The fourth proportional to 17,746.32, 24,494.19 and 10,671.38 is: 14,729.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.32 : 24,494.19 = 10,671.38 : x
  2. Step 2: Convert to fraction form
    17,746.32/24,494.19 = 10,671.38/x
  3. Step 3: Cross multiply
    17,746.32x = 24,494.19 × 10,671.38
  4. Step 4: Simplify right side
    17,746.32x = 261,386,686.81
  5. Step 5: Solve for x
    x = 261,386,686.81/17,746.32
  6. Step 6: Final answer
    x = 14,729.06

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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.