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Finding the Fourth Proportional to 25,693.70, 35,463.02 and 15,620

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Solution

The fourth proportional to 25,693.70, 35,463.02 and 15,620 is: 21,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,693.70 : 35,463.02 = 15,620 : x
  2. Step 2: Convert to fraction form
    25,693.70/35,463.02 = 15,620/x
  3. Step 3: Cross multiply
    25,693.70x = 35,463.02 × 15,620
  4. Step 4: Simplify right side
    25,693.70x = 553,932,294.30
  5. Step 5: Solve for x
    x = 553,932,294.30/25,693.70
  6. Step 6: Final answer
    x = 21,559.07

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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.