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Finding the Fourth Proportional to 25,678.72, 35,436.21 and 14,348.38

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Solution

The fourth proportional to 25,678.72, 35,436.21 and 14,348.38 is: 19,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,678.72 : 35,436.21 = 14,348.38 : x
  2. Step 2: Convert to fraction form
    25,678.72/35,436.21 = 14,348.38/x
  3. Step 3: Cross multiply
    25,678.72x = 35,436.21 × 14,348.38
  4. Step 4: Simplify right side
    25,678.72x = 508,452,206.84
  5. Step 5: Solve for x
    x = 508,452,206.84/25,678.72
  6. Step 6: Final answer
    x = 19,800.53

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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.