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Finding the Fourth Proportional to 13,543.39, 20,315.54 and 4,658.64

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Solution

The fourth proportional to 13,543.39, 20,315.54 and 4,658.64 is: 6,988.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,543.39 : 20,315.54 = 4,658.64 : x
  2. Step 2: Convert to fraction form
    13,543.39/20,315.54 = 4,658.64/x
  3. Step 3: Cross multiply
    13,543.39x = 20,315.54 × 4,658.64
  4. Step 4: Simplify right side
    13,543.39x = 94,642,787.27
  5. Step 5: Solve for x
    x = 94,642,787.27/13,543.39
  6. Step 6: Final answer
    x = 6,988.12

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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.