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Finding the Fourth Proportional to 27,402.56, 37,815.54 and 14,827.28

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Solution

The fourth proportional to 27,402.56, 37,815.54 and 14,827.28 is: 20,461.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.56 : 37,815.54 = 14,827.28 : x
  2. Step 2: Convert to fraction form
    27,402.56/37,815.54 = 14,827.28/x
  3. Step 3: Cross multiply
    27,402.56x = 37,815.54 × 14,827.28
  4. Step 4: Simplify right side
    27,402.56x = 560,701,599.93
  5. Step 5: Solve for x
    x = 560,701,599.93/27,402.56
  6. Step 6: Final answer
    x = 20,461.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.