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Finding the Fourth Proportional to 23,362.74, 35,044.32 and 7,780.32

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Solution

The fourth proportional to 23,362.74, 35,044.32 and 7,780.32 is: 11,670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362.74 : 35,044.32 = 7,780.32 : x
  2. Step 2: Convert to fraction form
    23,362.74/35,044.32 = 7,780.32/x
  3. Step 3: Cross multiply
    23,362.74x = 35,044.32 × 7,780.32
  4. Step 4: Simplify right side
    23,362.74x = 272,656,023.78
  5. Step 5: Solve for x
    x = 272,656,023.78/23,362.74
  6. Step 6: Final answer
    x = 11,670.55

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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.