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Finding the Fourth Proportional to 25,211.68, 37,809.84 and 14,260

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Solution

The fourth proportional to 25,211.68, 37,809.84 and 14,260 is: 21,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.68 : 37,809.84 = 14,260 : x
  2. Step 2: Convert to fraction form
    25,211.68/37,809.84 = 14,260/x
  3. Step 3: Cross multiply
    25,211.68x = 37,809.84 × 14,260
  4. Step 4: Simplify right side
    25,211.68x = 539,168,318.40
  5. Step 5: Solve for x
    x = 539,168,318.40/25,211.68
  6. Step 6: Final answer
    x = 21,385.66

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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.