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Finding the Fourth Proportional to 14,205.18, 19,600.86 and 8,538.57

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Solution

The fourth proportional to 14,205.18, 19,600.86 and 8,538.57 is: 11,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.18 : 19,600.86 = 8,538.57 : x
  2. Step 2: Convert to fraction form
    14,205.18/19,600.86 = 8,538.57/x
  3. Step 3: Cross multiply
    14,205.18x = 19,600.86 × 8,538.57
  4. Step 4: Simplify right side
    14,205.18x = 167,363,315.17
  5. Step 5: Solve for x
    x = 167,363,315.17/14,205.18
  6. Step 6: Final answer
    x = 11,781.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.