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Finding the Fourth Proportional to 24,848, 34,290.24 and 13,670

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Solution

The fourth proportional to 24,848, 34,290.24 and 13,670 is: 18,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848 : 34,290.24 = 13,670 : x
  2. Step 2: Convert to fraction form
    24,848/34,290.24 = 13,670/x
  3. Step 3: Cross multiply
    24,848x = 34,290.24 × 13,670
  4. Step 4: Simplify right side
    24,848x = 468,747,580.80
  5. Step 5: Solve for x
    x = 468,747,580.80/24,848
  6. Step 6: Final answer
    x = 18,864.60

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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.