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Finding the Fourth Proportional to 13,929.62, 19,221.72 and 7,641.99

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Solution

The fourth proportional to 13,929.62, 19,221.72 and 7,641.99 is: 10,545.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,929.62 : 19,221.72 = 7,641.99 : x
  2. Step 2: Convert to fraction form
    13,929.62/19,221.72 = 7,641.99/x
  3. Step 3: Cross multiply
    13,929.62x = 19,221.72 × 7,641.99
  4. Step 4: Simplify right side
    13,929.62x = 146,892,192.02
  5. Step 5: Solve for x
    x = 146,892,192.02/13,929.62
  6. Step 6: Final answer
    x = 10,545.32

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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.