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Finding the Fourth Proportional to 14,387.24, 19,854.78 and 8,099.84

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Solution

The fourth proportional to 14,387.24, 19,854.78 and 8,099.84 is: 11,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,387.24 : 19,854.78 = 8,099.84 : x
  2. Step 2: Convert to fraction form
    14,387.24/19,854.78 = 8,099.84/x
  3. Step 3: Cross multiply
    14,387.24x = 19,854.78 × 8,099.84
  4. Step 4: Simplify right side
    14,387.24x = 160,820,541.24
  5. Step 5: Solve for x
    x = 160,820,541.24/14,387.24
  6. Step 6: Final answer
    x = 11,178.00

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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.