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Finding the Fourth Proportional to 25,378.12, 38,070.83 and 7,849.32

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Solution

The fourth proportional to 25,378.12, 38,070.83 and 7,849.32 is: 11,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,378.12 : 38,070.83 = 7,849.32 : x
  2. Step 2: Convert to fraction form
    25,378.12/38,070.83 = 7,849.32/x
  3. Step 3: Cross multiply
    25,378.12x = 38,070.83 × 7,849.32
  4. Step 4: Simplify right side
    25,378.12x = 298,829,897.73
  5. Step 5: Solve for x
    x = 298,829,897.73/25,378.12
  6. Step 6: Final answer
    x = 11,775.10

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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.