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Finding the Fourth Proportional to 27,459.68, 41,165.16 and 13,412

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Solution

The fourth proportional to 27,459.68, 41,165.16 and 13,412 is: 20,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,459.68 : 41,165.16 = 13,412 : x
  2. Step 2: Convert to fraction form
    27,459.68/41,165.16 = 13,412/x
  3. Step 3: Cross multiply
    27,459.68x = 41,165.16 × 13,412
  4. Step 4: Simplify right side
    27,459.68x = 552,107,125.92
  5. Step 5: Solve for x
    x = 552,107,125.92/27,459.68
  6. Step 6: Final answer
    x = 20,106.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.