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Finding the Fourth Proportional to 25,574.12, 38,345.82 and 9,999.08

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Solution

The fourth proportional to 25,574.12, 38,345.82 and 9,999.08 is: 14,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.12 : 38,345.82 = 9,999.08 : x
  2. Step 2: Convert to fraction form
    25,574.12/38,345.82 = 9,999.08/x
  3. Step 3: Cross multiply
    25,574.12x = 38,345.82 × 9,999.08
  4. Step 4: Simplify right side
    25,574.12x = 383,422,921.85
  5. Step 5: Solve for x
    x = 383,422,921.85/25,574.12
  6. Step 6: Final answer
    x = 14,992.61

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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.