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Finding the Fourth Proportional to 15,818.42, 23,718.64 and 6,447.46

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Solution

The fourth proportional to 15,818.42, 23,718.64 and 6,447.46 is: 9,667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,818.42 : 23,718.64 = 6,447.46 : x
  2. Step 2: Convert to fraction form
    15,818.42/23,718.64 = 6,447.46/x
  3. Step 3: Cross multiply
    15,818.42x = 23,718.64 × 6,447.46
  4. Step 4: Simplify right side
    15,818.42x = 152,924,963.80
  5. Step 5: Solve for x
    x = 152,924,963.80/15,818.42
  6. Step 6: Final answer
    x = 9,667.53

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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.