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Finding the Fourth Proportional to 16,348.53, 24,527.71 and 6,989.39

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Solution

The fourth proportional to 16,348.53, 24,527.71 and 6,989.39 is: 10,486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.53 : 24,527.71 = 6,989.39 : x
  2. Step 2: Convert to fraction form
    16,348.53/24,527.71 = 6,989.39/x
  3. Step 3: Cross multiply
    16,348.53x = 24,527.71 × 6,989.39
  4. Step 4: Simplify right side
    16,348.53x = 171,433,709.07
  5. Step 5: Solve for x
    x = 171,433,709.07/16,348.53
  6. Step 6: Final answer
    x = 10,486.18

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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.