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Finding the Fourth Proportional to 25,870.42, 38,804.83 and 7,151.59

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Solution

The fourth proportional to 25,870.42, 38,804.83 and 7,151.59 is: 10,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,870.42 : 38,804.83 = 7,151.59 : x
  2. Step 2: Convert to fraction form
    25,870.42/38,804.83 = 7,151.59/x
  3. Step 3: Cross multiply
    25,870.42x = 38,804.83 × 7,151.59
  4. Step 4: Simplify right side
    25,870.42x = 277,516,234.18
  5. Step 5: Solve for x
    x = 277,516,234.18/25,870.42
  6. Step 6: Final answer
    x = 10,727.16

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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.