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Finding the Fourth Proportional to 19,876.80, 27,430.44 and 10,923.72

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Solution

The fourth proportional to 19,876.80, 27,430.44 and 10,923.72 is: 15,074.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.80 : 27,430.44 = 10,923.72 : x
  2. Step 2: Convert to fraction form
    19,876.80/27,430.44 = 10,923.72/x
  3. Step 3: Cross multiply
    19,876.80x = 27,430.44 × 10,923.72
  4. Step 4: Simplify right side
    19,876.80x = 299,642,446.04
  5. Step 5: Solve for x
    x = 299,642,446.04/19,876.80
  6. Step 6: Final answer
    x = 15,074.98

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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.