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Finding the Fourth Proportional to 13,042.74, 19,568.98 and 6,026.12

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Solution

The fourth proportional to 13,042.74, 19,568.98 and 6,026.12 is: 9,041.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.74 : 19,568.98 = 6,026.12 : x
  2. Step 2: Convert to fraction form
    13,042.74/19,568.98 = 6,026.12/x
  3. Step 3: Cross multiply
    13,042.74x = 19,568.98 × 6,026.12
  4. Step 4: Simplify right side
    13,042.74x = 117,925,021.76
  5. Step 5: Solve for x
    x = 117,925,021.76/13,042.74
  6. Step 6: Final answer
    x = 9,041.43

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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.