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Finding the Fourth Proportional to 13,930.71, 19,224.41 and 7,643.13

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Solution

The fourth proportional to 13,930.71, 19,224.41 and 7,643.13 is: 10,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.71 : 19,224.41 = 7,643.13 : x
  2. Step 2: Convert to fraction form
    13,930.71/19,224.41 = 7,643.13/x
  3. Step 3: Cross multiply
    13,930.71x = 19,224.41 × 7,643.13
  4. Step 4: Simplify right side
    13,930.71x = 146,934,626.59
  5. Step 5: Solve for x
    x = 146,934,626.59/13,930.71
  6. Step 6: Final answer
    x = 10,547.53

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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.