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Finding the Fourth Proportional to 25,904.70, 35,747.37 and 14,574

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Solution

The fourth proportional to 25,904.70, 35,747.37 and 14,574 is: 20,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,904.70 : 35,747.37 = 14,574 : x
  2. Step 2: Convert to fraction form
    25,904.70/35,747.37 = 14,574/x
  3. Step 3: Cross multiply
    25,904.70x = 35,747.37 × 14,574
  4. Step 4: Simplify right side
    25,904.70x = 520,982,170.38
  5. Step 5: Solve for x
    x = 520,982,170.38/25,904.70
  6. Step 6: Final answer
    x = 20,111.49

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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.