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Finding the Fourth Proportional to 27,583.76, 38,064.84 and 15,008.24

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Solution

The fourth proportional to 27,583.76, 38,064.84 and 15,008.24 is: 20,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,583.76 : 38,064.84 = 15,008.24 : x
  2. Step 2: Convert to fraction form
    27,583.76/38,064.84 = 15,008.24/x
  3. Step 3: Cross multiply
    27,583.76x = 38,064.84 × 15,008.24
  4. Step 4: Simplify right side
    27,583.76x = 571,286,254.28
  5. Step 5: Solve for x
    x = 571,286,254.28/27,583.76
  6. Step 6: Final answer
    x = 20,710.96

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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.