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Finding the Fourth Proportional to 25,565.58, 38,333.22 and 9,964.98

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Solution

The fourth proportional to 25,565.58, 38,333.22 and 9,964.98 is: 14,941.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,565.58 : 38,333.22 = 9,964.98 : x
  2. Step 2: Convert to fraction form
    25,565.58/38,333.22 = 9,964.98/x
  3. Step 3: Cross multiply
    25,565.58x = 38,333.22 × 9,964.98
  4. Step 4: Simplify right side
    25,565.58x = 381,989,770.64
  5. Step 5: Solve for x
    x = 381,989,770.64/25,565.58
  6. Step 6: Final answer
    x = 14,941.56

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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.