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Finding the Fourth Proportional to 25,345.40, 38,023.53 and 7,577.45

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Solution

The fourth proportional to 25,345.40, 38,023.53 and 7,577.45 is: 11,367.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,345.40 : 38,023.53 = 7,577.45 : x
  2. Step 2: Convert to fraction form
    25,345.40/38,023.53 = 7,577.45/x
  3. Step 3: Cross multiply
    25,345.40x = 38,023.53 × 7,577.45
  4. Step 4: Simplify right side
    25,345.40x = 288,121,169.39
  5. Step 5: Solve for x
    x = 288,121,169.39/25,345.40
  6. Step 6: Final answer
    x = 11,367.79

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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.