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Finding the Fourth Proportional to 25,358.88, 38,034 and 9,776.64

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Solution

The fourth proportional to 25,358.88, 38,034 and 9,776.64 is: 14,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358.88 : 38,034 = 9,776.64 : x
  2. Step 2: Convert to fraction form
    25,358.88/38,034 = 9,776.64/x
  3. Step 3: Cross multiply
    25,358.88x = 38,034 × 9,776.64
  4. Step 4: Simplify right side
    25,358.88x = 371,844,725.76
  5. Step 5: Solve for x
    x = 371,844,725.76/25,358.88
  6. Step 6: Final answer
    x = 14,663.29

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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.