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Finding the Fourth Proportional to 19,876.68, 27,430.40 and 10,924.77

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Solution

The fourth proportional to 19,876.68, 27,430.40 and 10,924.77 is: 15,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.68 : 27,430.40 = 10,924.77 : x
  2. Step 2: Convert to fraction form
    19,876.68/27,430.40 = 10,924.77/x
  3. Step 3: Cross multiply
    19,876.68x = 27,430.40 × 10,924.77
  4. Step 4: Simplify right side
    19,876.68x = 299,670,775.28
  5. Step 5: Solve for x
    x = 299,670,775.28/19,876.68
  6. Step 6: Final answer
    x = 15,076.50

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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.