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Finding the Fourth Proportional to 14,116.17, 19,479.83 and 7,829.13

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Solution

The fourth proportional to 14,116.17, 19,479.83 and 7,829.13 is: 10,803.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.17 : 19,479.83 = 7,829.13 : x
  2. Step 2: Convert to fraction form
    14,116.17/19,479.83 = 7,829.13/x
  3. Step 3: Cross multiply
    14,116.17x = 19,479.83 × 7,829.13
  4. Step 4: Simplify right side
    14,116.17x = 152,510,082.30
  5. Step 5: Solve for x
    x = 152,510,082.30/14,116.17
  6. Step 6: Final answer
    x = 10,803.93

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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.