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Finding the Fourth Proportional to 25,616.38, 35,350.88 and 14,438.38

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Solution

The fourth proportional to 25,616.38, 35,350.88 and 14,438.38 is: 19,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.38 : 35,350.88 = 14,438.38 : x
  2. Step 2: Convert to fraction form
    25,616.38/35,350.88 = 14,438.38/x
  3. Step 3: Cross multiply
    25,616.38x = 35,350.88 × 14,438.38
  4. Step 4: Simplify right side
    25,616.38x = 510,409,438.77
  5. Step 5: Solve for x
    x = 510,409,438.77/25,616.38
  6. Step 6: Final answer
    x = 19,925.12

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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.