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Finding the Fourth Proportional to 15,998.20, 23,977.05 and 6,124.30

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Solution

The fourth proportional to 15,998.20, 23,977.05 and 6,124.30 is: 9,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.20 : 23,977.05 = 6,124.30 : x
  2. Step 2: Convert to fraction form
    15,998.20/23,977.05 = 6,124.30/x
  3. Step 3: Cross multiply
    15,998.20x = 23,977.05 × 6,124.30
  4. Step 4: Simplify right side
    15,998.20x = 146,842,647.32
  5. Step 5: Solve for x
    x = 146,842,647.32/15,998.20
  6. Step 6: Final answer
    x = 9,178.70

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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.