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Finding the Fourth Proportional to 25,471.32, 35,154.66 and 14,144.46

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Solution

The fourth proportional to 25,471.32, 35,154.66 and 14,144.46 is: 19,521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,471.32 : 35,154.66 = 14,144.46 : x
  2. Step 2: Convert to fraction form
    25,471.32/35,154.66 = 14,144.46/x
  3. Step 3: Cross multiply
    25,471.32x = 35,154.66 × 14,144.46
  4. Step 4: Simplify right side
    25,471.32x = 497,243,682.18
  5. Step 5: Solve for x
    x = 497,243,682.18/25,471.32
  6. Step 6: Final answer
    x = 19,521.71

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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.