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Finding the Fourth Proportional to 13,929, 19,222.02 and 7,641.39

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Solution

The fourth proportional to 13,929, 19,222.02 and 7,641.39 is: 10,545.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929 : 19,222.02 = 7,641.39 : x
  2. Step 2: Convert to fraction form
    13,929/19,222.02 = 7,641.39/x
  3. Step 3: Cross multiply
    13,929x = 19,222.02 × 7,641.39
  4. Step 4: Simplify right side
    13,929x = 146,882,951.41
  5. Step 5: Solve for x
    x = 146,882,951.41/13,929
  6. Step 6: Final answer
    x = 10,545.12

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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.