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Finding the Fourth Proportional to 16,417.92, 24,629 and 7,531.11

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Solution

The fourth proportional to 16,417.92, 24,629 and 7,531.11 is: 11,297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.92 : 24,629 = 7,531.11 : x
  2. Step 2: Convert to fraction form
    16,417.92/24,629 = 7,531.11/x
  3. Step 3: Cross multiply
    16,417.92x = 24,629 × 7,531.11
  4. Step 4: Simplify right side
    16,417.92x = 185,483,708.19
  5. Step 5: Solve for x
    x = 185,483,708.19/16,417.92
  6. Step 6: Final answer
    x = 11,297.64

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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.