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Finding the Fourth Proportional to 27,652, 38,159.76 and 17,716.64

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Solution

The fourth proportional to 27,652, 38,159.76 and 17,716.64 is: 24,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,652 : 38,159.76 = 17,716.64 : x
  2. Step 2: Convert to fraction form
    27,652/38,159.76 = 17,716.64/x
  3. Step 3: Cross multiply
    27,652x = 38,159.76 × 17,716.64
  4. Step 4: Simplify right side
    27,652x = 676,062,730.41
  5. Step 5: Solve for x
    x = 676,062,730.41/27,652
  6. Step 6: Final answer
    x = 24,448.96

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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.