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Finding the Fourth Proportional to 15,734.63, 23,601.83 and 6,374.50

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Solution

The fourth proportional to 15,734.63, 23,601.83 and 6,374.50 is: 9,561.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,734.63 : 23,601.83 = 6,374.50 : x
  2. Step 2: Convert to fraction form
    15,734.63/23,601.83 = 6,374.50/x
  3. Step 3: Cross multiply
    15,734.63x = 23,601.83 × 6,374.50
  4. Step 4: Simplify right side
    15,734.63x = 150,449,774.46
  5. Step 5: Solve for x
    x = 150,449,774.46/15,734.63
  6. Step 6: Final answer
    x = 9,561.70

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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.