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Finding the Fourth Proportional to 19,226, 26,531.88 and 10,394

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Solution

The fourth proportional to 19,226, 26,531.88 and 10,394 is: 14,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,226 : 26,531.88 = 10,394 : x
  2. Step 2: Convert to fraction form
    19,226/26,531.88 = 10,394/x
  3. Step 3: Cross multiply
    19,226x = 26,531.88 × 10,394
  4. Step 4: Simplify right side
    19,226x = 275,772,360.72
  5. Step 5: Solve for x
    x = 275,772,360.72/19,226
  6. Step 6: Final answer
    x = 14,343.72

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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.