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Finding the Fourth Proportional to 13,242.84, 19,864.23 and 8,315.94

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Solution

The fourth proportional to 13,242.84, 19,864.23 and 8,315.94 is: 12,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.84 : 19,864.23 = 8,315.94 : x
  2. Step 2: Convert to fraction form
    13,242.84/19,864.23 = 8,315.94/x
  3. Step 3: Cross multiply
    13,242.84x = 19,864.23 × 8,315.94
  4. Step 4: Simplify right side
    13,242.84x = 165,189,744.83
  5. Step 5: Solve for x
    x = 165,189,744.83/13,242.84
  6. Step 6: Final answer
    x = 12,473.89

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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.