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Finding the Fourth Proportional to 16,272.97, 24,409.86 and 4,585.75

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Solution

The fourth proportional to 16,272.97, 24,409.86 and 4,585.75 is: 6,878.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,272.97 : 24,409.86 = 4,585.75 : x
  2. Step 2: Convert to fraction form
    16,272.97/24,409.86 = 4,585.75/x
  3. Step 3: Cross multiply
    16,272.97x = 24,409.86 × 4,585.75
  4. Step 4: Simplify right side
    16,272.97x = 111,937,515.50
  5. Step 5: Solve for x
    x = 111,937,515.50/16,272.97
  6. Step 6: Final answer
    x = 6,878.74

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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.