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Finding the Fourth Proportional to 16,426.79, 24,657.71 and 7,071.44

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Solution

The fourth proportional to 16,426.79, 24,657.71 and 7,071.44 is: 10,614.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.79 : 24,657.71 = 7,071.44 : x
  2. Step 2: Convert to fraction form
    16,426.79/24,657.71 = 7,071.44/x
  3. Step 3: Cross multiply
    16,426.79x = 24,657.71 × 7,071.44
  4. Step 4: Simplify right side
    16,426.79x = 174,365,411.19
  5. Step 5: Solve for x
    x = 174,365,411.19/16,426.79
  6. Step 6: Final answer
    x = 10,614.70

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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.