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Finding the Fourth Proportional to 12,635.04, 18,952.68 and 4,842

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Solution

The fourth proportional to 12,635.04, 18,952.68 and 4,842 is: 7,263.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.04 : 18,952.68 = 4,842 : x
  2. Step 2: Convert to fraction form
    12,635.04/18,952.68 = 4,842/x
  3. Step 3: Cross multiply
    12,635.04x = 18,952.68 × 4,842
  4. Step 4: Simplify right side
    12,635.04x = 91,768,876.56
  5. Step 5: Solve for x
    x = 91,768,876.56/12,635.04
  6. Step 6: Final answer
    x = 7,263.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.