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Finding the Fourth Proportional to 25,920.38, 35,769.71 and 14,435.21

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Solution

The fourth proportional to 25,920.38, 35,769.71 and 14,435.21 is: 19,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920.38 : 35,769.71 = 14,435.21 : x
  2. Step 2: Convert to fraction form
    25,920.38/35,769.71 = 14,435.21/x
  3. Step 3: Cross multiply
    25,920.38x = 35,769.71 × 14,435.21
  4. Step 4: Simplify right side
    25,920.38x = 516,343,024.46
  5. Step 5: Solve for x
    x = 516,343,024.46/25,920.38
  6. Step 6: Final answer
    x = 19,920.35

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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.