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Finding the Fourth Proportional to 14,443.06, 19,931.17 and 8,069.77

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Solution

The fourth proportional to 14,443.06, 19,931.17 and 8,069.77 is: 11,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,443.06 : 19,931.17 = 8,069.77 : x
  2. Step 2: Convert to fraction form
    14,443.06/19,931.17 = 8,069.77/x
  3. Step 3: Cross multiply
    14,443.06x = 19,931.17 × 8,069.77
  4. Step 4: Simplify right side
    14,443.06x = 160,839,957.73
  5. Step 5: Solve for x
    x = 160,839,957.73/14,443.06
  6. Step 6: Final answer
    x = 11,136.15

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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.