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Finding the Fourth Proportional to 27,714.97, 38,246.65 and 14,968.16

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Solution

The fourth proportional to 27,714.97, 38,246.65 and 14,968.16 is: 20,656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,714.97 : 38,246.65 = 14,968.16 : x
  2. Step 2: Convert to fraction form
    27,714.97/38,246.65 = 14,968.16/x
  3. Step 3: Cross multiply
    27,714.97x = 38,246.65 × 14,968.16
  4. Step 4: Simplify right side
    27,714.97x = 572,481,710.59
  5. Step 5: Solve for x
    x = 572,481,710.59/27,714.97
  6. Step 6: Final answer
    x = 20,656.05

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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.