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Finding the Fourth Proportional to 19,672.50, 27,148.05 and 10,840.50

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Solution

The fourth proportional to 19,672.50, 27,148.05 and 10,840.50 is: 14,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.50 : 27,148.05 = 10,840.50 : x
  2. Step 2: Convert to fraction form
    19,672.50/27,148.05 = 10,840.50/x
  3. Step 3: Cross multiply
    19,672.50x = 27,148.05 × 10,840.50
  4. Step 4: Simplify right side
    19,672.50x = 294,298,436.03
  5. Step 5: Solve for x
    x = 294,298,436.03/19,672.50
  6. Step 6: Final answer
    x = 14,959.89

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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.