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Finding the Fourth Proportional to 13,042.72, 19,526.83 and 12,215.14

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Solution

The fourth proportional to 13,042.72, 19,526.83 and 12,215.14 is: 18,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.72 : 19,526.83 = 12,215.14 : x
  2. Step 2: Convert to fraction form
    13,042.72/19,526.83 = 12,215.14/x
  3. Step 3: Cross multiply
    13,042.72x = 19,526.83 × 12,215.14
  4. Step 4: Simplify right side
    13,042.72x = 238,522,927.55
  5. Step 5: Solve for x
    x = 238,522,927.55/13,042.72
  6. Step 6: Final answer
    x = 18,287.82

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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.