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Finding the Fourth Proportional to 14,109.48, 19,471.86 and 7,821.72

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Solution

The fourth proportional to 14,109.48, 19,471.86 and 7,821.72 is: 10,794.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.48 : 19,471.86 = 7,821.72 : x
  2. Step 2: Convert to fraction form
    14,109.48/19,471.86 = 7,821.72/x
  3. Step 3: Cross multiply
    14,109.48x = 19,471.86 × 7,821.72
  4. Step 4: Simplify right side
    14,109.48x = 152,303,436.80
  5. Step 5: Solve for x
    x = 152,303,436.80/14,109.48
  6. Step 6: Final answer
    x = 10,794.40

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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.