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Finding the Fourth Proportional to 14,162.50, 19,545.47 and 7,876.09

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Solution

The fourth proportional to 14,162.50, 19,545.47 and 7,876.09 is: 10,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.50 : 19,545.47 = 7,876.09 : x
  2. Step 2: Convert to fraction form
    14,162.50/19,545.47 = 7,876.09/x
  3. Step 3: Cross multiply
    14,162.50x = 19,545.47 × 7,876.09
  4. Step 4: Simplify right side
    14,162.50x = 153,941,880.81
  5. Step 5: Solve for x
    x = 153,941,880.81/14,162.50
  6. Step 6: Final answer
    x = 10,869.68

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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.