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Finding the Fourth Proportional to 12,068.10, 18,088.14 and 7,141.92

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Solution

The fourth proportional to 12,068.10, 18,088.14 and 7,141.92 is: 10,704.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,068.10 : 18,088.14 = 7,141.92 : x
  2. Step 2: Convert to fraction form
    12,068.10/18,088.14 = 7,141.92/x
  3. Step 3: Cross multiply
    12,068.10x = 18,088.14 × 7,141.92
  4. Step 4: Simplify right side
    12,068.10x = 129,184,048.83
  5. Step 5: Solve for x
    x = 129,184,048.83/12,068.10
  6. Step 6: Final answer
    x = 10,704.59

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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.