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Finding the Fourth Proportional to 13,030.14, 17,990.22 and 8,070.78

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Solution

The fourth proportional to 13,030.14, 17,990.22 and 8,070.78 is: 11,143.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,030.14 : 17,990.22 = 8,070.78 : x
  2. Step 2: Convert to fraction form
    13,030.14/17,990.22 = 8,070.78/x
  3. Step 3: Cross multiply
    13,030.14x = 17,990.22 × 8,070.78
  4. Step 4: Simplify right side
    13,030.14x = 145,195,107.77
  5. Step 5: Solve for x
    x = 145,195,107.77/13,030.14
  6. Step 6: Final answer
    x = 11,143.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.