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Finding the Fourth Proportional to 25,101.33, 37,639.87 and 14,574

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Solution

The fourth proportional to 25,101.33, 37,639.87 and 14,574 is: 21,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,101.33 : 37,639.87 = 14,574 : x
  2. Step 2: Convert to fraction form
    25,101.33/37,639.87 = 14,574/x
  3. Step 3: Cross multiply
    25,101.33x = 37,639.87 × 14,574
  4. Step 4: Simplify right side
    25,101.33x = 548,563,465.38
  5. Step 5: Solve for x
    x = 548,563,465.38/25,101.33
  6. Step 6: Final answer
    x = 21,853.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.