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Finding the Fourth Proportional to 14,162.69, 19,543.70 and 7,874.93

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Solution

The fourth proportional to 14,162.69, 19,543.70 and 7,874.93 is: 10,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.69 : 19,543.70 = 7,874.93 : x
  2. Step 2: Convert to fraction form
    14,162.69/19,543.70 = 7,874.93/x
  3. Step 3: Cross multiply
    14,162.69x = 19,543.70 × 7,874.93
  4. Step 4: Simplify right side
    14,162.69x = 153,905,191.41
  5. Step 5: Solve for x
    x = 153,905,191.41/14,162.69
  6. Step 6: Final answer
    x = 10,866.95

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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.