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Finding the Fourth Proportional to 15,233.10, 22,849.65 and 12,827.40

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Solution

The fourth proportional to 15,233.10, 22,849.65 and 12,827.40 is: 19,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.10 : 22,849.65 = 12,827.40 : x
  2. Step 2: Convert to fraction form
    15,233.10/22,849.65 = 12,827.40/x
  3. Step 3: Cross multiply
    15,233.10x = 22,849.65 × 12,827.40
  4. Step 4: Simplify right side
    15,233.10x = 293,101,600.41
  5. Step 5: Solve for x
    x = 293,101,600.41/15,233.10
  6. Step 6: Final answer
    x = 19,241.10

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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.