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Finding the Fourth Proportional to 19,306, 26,642.10 and 10,922.50

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Solution

The fourth proportional to 19,306, 26,642.10 and 10,922.50 is: 15,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,306 : 26,642.10 = 10,922.50 : x
  2. Step 2: Convert to fraction form
    19,306/26,642.10 = 10,922.50/x
  3. Step 3: Cross multiply
    19,306x = 26,642.10 × 10,922.50
  4. Step 4: Simplify right side
    19,306x = 290,998,337.25
  5. Step 5: Solve for x
    x = 290,998,337.25/19,306
  6. Step 6: Final answer
    x = 15,072.95

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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.