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Finding the Fourth Proportional to 14,217.24, 19,617.84 and 7,928.40

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Solution

The fourth proportional to 14,217.24, 19,617.84 and 7,928.40 is: 10,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.24 : 19,617.84 = 7,928.40 : x
  2. Step 2: Convert to fraction form
    14,217.24/19,617.84 = 7,928.40/x
  3. Step 3: Cross multiply
    14,217.24x = 19,617.84 × 7,928.40
  4. Step 4: Simplify right side
    14,217.24x = 155,538,082.66
  5. Step 5: Solve for x
    x = 155,538,082.66/14,217.24
  6. Step 6: Final answer
    x = 10,940.10

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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.