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Finding the Fourth Proportional to 14,445.06, 19,934.19 and 7,821.06

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Solution

The fourth proportional to 14,445.06, 19,934.19 and 7,821.06 is: 10,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445.06 : 19,934.19 = 7,821.06 : x
  2. Step 2: Convert to fraction form
    14,445.06/19,934.19 = 7,821.06/x
  3. Step 3: Cross multiply
    14,445.06x = 19,934.19 × 7,821.06
  4. Step 4: Simplify right side
    14,445.06x = 155,906,496.04
  5. Step 5: Solve for x
    x = 155,906,496.04/14,445.06
  6. Step 6: Final answer
    x = 10,793.07

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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.