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Finding the Fourth Proportional to 18,612.32, 27,897.68 and 8,070.16

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Solution

The fourth proportional to 18,612.32, 27,897.68 and 8,070.16 is: 12,096.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,612.32 : 27,897.68 = 8,070.16 : x
  2. Step 2: Convert to fraction form
    18,612.32/27,897.68 = 8,070.16/x
  3. Step 3: Cross multiply
    18,612.32x = 27,897.68 × 8,070.16
  4. Step 4: Simplify right side
    18,612.32x = 225,138,741.23
  5. Step 5: Solve for x
    x = 225,138,741.23/18,612.32
  6. Step 6: Final answer
    x = 12,096.22

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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.