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Finding the Fourth Proportional to 25,695.72, 35,458.74 and 14,517

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Solution

The fourth proportional to 25,695.72, 35,458.74 and 14,517 is: 20,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,695.72 : 35,458.74 = 14,517 : x
  2. Step 2: Convert to fraction form
    25,695.72/35,458.74 = 14,517/x
  3. Step 3: Cross multiply
    25,695.72x = 35,458.74 × 14,517
  4. Step 4: Simplify right side
    25,695.72x = 514,754,528.58
  5. Step 5: Solve for x
    x = 514,754,528.58/25,695.72
  6. Step 6: Final answer
    x = 20,032.70

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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.