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Finding the Fourth Proportional to 12,275.84, 18,409.92 and 4,878.24

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Solution

The fourth proportional to 12,275.84, 18,409.92 and 4,878.24 is: 7,315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.84 : 18,409.92 = 4,878.24 : x
  2. Step 2: Convert to fraction form
    12,275.84/18,409.92 = 4,878.24/x
  3. Step 3: Cross multiply
    12,275.84x = 18,409.92 × 4,878.24
  4. Step 4: Simplify right side
    12,275.84x = 89,808,008.14
  5. Step 5: Solve for x
    x = 89,808,008.14/12,275.84
  6. Step 6: Final answer
    x = 7,315.83

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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.