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Finding the Fourth Proportional to 15,384.78, 23,077.14 and 4,996.50

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Solution

The fourth proportional to 15,384.78, 23,077.14 and 4,996.50 is: 7,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.78 : 23,077.14 = 4,996.50 : x
  2. Step 2: Convert to fraction form
    15,384.78/23,077.14 = 4,996.50/x
  3. Step 3: Cross multiply
    15,384.78x = 23,077.14 × 4,996.50
  4. Step 4: Simplify right side
    15,384.78x = 115,304,930.01
  5. Step 5: Solve for x
    x = 115,304,930.01/15,384.78
  6. Step 6: Final answer
    x = 7,494.74

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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.