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Finding the Fourth Proportional to 14,182.52, 19,571.71 and 7,808.98

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Solution

The fourth proportional to 14,182.52, 19,571.71 and 7,808.98 is: 10,776.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.52 : 19,571.71 = 7,808.98 : x
  2. Step 2: Convert to fraction form
    14,182.52/19,571.71 = 7,808.98/x
  3. Step 3: Cross multiply
    14,182.52x = 19,571.71 × 7,808.98
  4. Step 4: Simplify right side
    14,182.52x = 152,834,974.57
  5. Step 5: Solve for x
    x = 152,834,974.57/14,182.52
  6. Step 6: Final answer
    x = 10,776.29

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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.