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Finding the Fourth Proportional to 25,718.72, 35,490.48 and 14,540

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Solution

The fourth proportional to 25,718.72, 35,490.48 and 14,540 is: 20,064.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,718.72 : 35,490.48 = 14,540 : x
  2. Step 2: Convert to fraction form
    25,718.72/35,490.48 = 14,540/x
  3. Step 3: Cross multiply
    25,718.72x = 35,490.48 × 14,540
  4. Step 4: Simplify right side
    25,718.72x = 516,031,579.20
  5. Step 5: Solve for x
    x = 516,031,579.20/25,718.72
  6. Step 6: Final answer
    x = 20,064.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.