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Finding the Fourth Proportional to 15,873.60, 23,778.27 and 7,561.65

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Solution

The fourth proportional to 15,873.60, 23,778.27 and 7,561.65 is: 11,327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.60 : 23,778.27 = 7,561.65 : x
  2. Step 2: Convert to fraction form
    15,873.60/23,778.27 = 7,561.65/x
  3. Step 3: Cross multiply
    15,873.60x = 23,778.27 × 7,561.65
  4. Step 4: Simplify right side
    15,873.60x = 179,802,955.35
  5. Step 5: Solve for x
    x = 179,802,955.35/15,873.60
  6. Step 6: Final answer
    x = 11,327.17

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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.