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Finding the Fourth Proportional to 25,574.67, 38,367.47 and 8,045.86

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Solution

The fourth proportional to 25,574.67, 38,367.47 and 8,045.86 is: 12,070.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.67 : 38,367.47 = 8,045.86 : x
  2. Step 2: Convert to fraction form
    25,574.67/38,367.47 = 8,045.86/x
  3. Step 3: Cross multiply
    25,574.67x = 38,367.47 × 8,045.86
  4. Step 4: Simplify right side
    25,574.67x = 308,699,292.17
  5. Step 5: Solve for x
    x = 308,699,292.17/25,574.67
  6. Step 6: Final answer
    x = 12,070.51

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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.