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Finding the Fourth Proportional to 25,532.58, 38,298.89 and 8,003.77

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Solution

The fourth proportional to 25,532.58, 38,298.89 and 8,003.77 is: 12,005.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.58 : 38,298.89 = 8,003.77 : x
  2. Step 2: Convert to fraction form
    25,532.58/38,298.89 = 8,003.77/x
  3. Step 3: Cross multiply
    25,532.58x = 38,298.89 × 8,003.77
  4. Step 4: Simplify right side
    25,532.58x = 306,535,506.82
  5. Step 5: Solve for x
    x = 306,535,506.82/25,532.58
  6. Step 6: Final answer
    x = 12,005.66

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