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Finding the Fourth Proportional to 27,094.64, 40,629 and 11,503.76

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Solution

The fourth proportional to 27,094.64, 40,629 and 11,503.76 is: 17,250.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094.64 : 40,629 = 11,503.76 : x
  2. Step 2: Convert to fraction form
    27,094.64/40,629 = 11,503.76/x
  3. Step 3: Cross multiply
    27,094.64x = 40,629 × 11,503.76
  4. Step 4: Simplify right side
    27,094.64x = 467,386,265.04
  5. Step 5: Solve for x
    x = 467,386,265.04/27,094.64
  6. Step 6: Final answer
    x = 17,250.14

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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.