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Finding the Fourth Proportional to 27,141.04, 40,714.26 and 8,420.32

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Solution

The fourth proportional to 27,141.04, 40,714.26 and 8,420.32 is: 12,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,141.04 : 40,714.26 = 8,420.32 : x
  2. Step 2: Convert to fraction form
    27,141.04/40,714.26 = 8,420.32/x
  3. Step 3: Cross multiply
    27,141.04x = 40,714.26 × 8,420.32
  4. Step 4: Simplify right side
    27,141.04x = 342,827,097.76
  5. Step 5: Solve for x
    x = 342,827,097.76/27,141.04
  6. Step 6: Final answer
    x = 12,631.32

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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.