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Finding the Fourth Proportional to 25,842.60, 38,765.12 and 9,202.77

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Solution

The fourth proportional to 25,842.60, 38,765.12 and 9,202.77 is: 13,804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.60 : 38,765.12 = 9,202.77 : x
  2. Step 2: Convert to fraction form
    25,842.60/38,765.12 = 9,202.77/x
  3. Step 3: Cross multiply
    25,842.60x = 38,765.12 × 9,202.77
  4. Step 4: Simplify right side
    25,842.60x = 356,746,437.37
  5. Step 5: Solve for x
    x = 356,746,437.37/25,842.60
  6. Step 6: Final answer
    x = 13,804.59

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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.