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Finding the Fourth Proportional to 25,547.88, 38,321.75 and 8,019.02

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Solution

The fourth proportional to 25,547.88, 38,321.75 and 8,019.02 is: 12,028.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,547.88 : 38,321.75 = 8,019.02 : x
  2. Step 2: Convert to fraction form
    25,547.88/38,321.75 = 8,019.02/x
  3. Step 3: Cross multiply
    25,547.88x = 38,321.75 × 8,019.02
  4. Step 4: Simplify right side
    25,547.88x = 307,302,879.69
  5. Step 5: Solve for x
    x = 307,302,879.69/25,547.88
  6. Step 6: Final answer
    x = 12,028.51

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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.