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Finding the Fourth Proportional to 25,365.64, 38,048.18 and 7,833.48

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Solution

The fourth proportional to 25,365.64, 38,048.18 and 7,833.48 is: 11,750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,365.64 : 38,048.18 = 7,833.48 : x
  2. Step 2: Convert to fraction form
    25,365.64/38,048.18 = 7,833.48/x
  3. Step 3: Cross multiply
    25,365.64x = 38,048.18 × 7,833.48
  4. Step 4: Simplify right side
    25,365.64x = 298,049,657.07
  5. Step 5: Solve for x
    x = 298,049,657.07/25,365.64
  6. Step 6: Final answer
    x = 11,750.13

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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.