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Finding the Fourth Proportional to 24,689.52, 34,069.32 and 14,078.16

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Solution

The fourth proportional to 24,689.52, 34,069.32 and 14,078.16 is: 19,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.52 : 34,069.32 = 14,078.16 : x
  2. Step 2: Convert to fraction form
    24,689.52/34,069.32 = 14,078.16/x
  3. Step 3: Cross multiply
    24,689.52x = 34,069.32 × 14,078.16
  4. Step 4: Simplify right side
    24,689.52x = 479,633,338.05
  5. Step 5: Solve for x
    x = 479,633,338.05/24,689.52
  6. Step 6: Final answer
    x = 19,426.60

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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.