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Finding the Fourth Proportional to 25,784.66, 38,677.02 and 7,064.85

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Solution

The fourth proportional to 25,784.66, 38,677.02 and 7,064.85 is: 10,597.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.66 : 38,677.02 = 7,064.85 : x
  2. Step 2: Convert to fraction form
    25,784.66/38,677.02 = 7,064.85/x
  3. Step 3: Cross multiply
    25,784.66x = 38,677.02 × 7,064.85
  4. Step 4: Simplify right side
    25,784.66x = 273,247,344.75
  5. Step 5: Solve for x
    x = 273,247,344.75/25,784.66
  6. Step 6: Final answer
    x = 10,597.28

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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.