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Finding the Fourth Proportional to 24,549.76, 36,837.86 and 9,758.82

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Solution

The fourth proportional to 24,549.76, 36,837.86 and 9,758.82 is: 14,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.76 : 36,837.86 = 9,758.82 : x
  2. Step 2: Convert to fraction form
    24,549.76/36,837.86 = 9,758.82/x
  3. Step 3: Cross multiply
    24,549.76x = 36,837.86 × 9,758.82
  4. Step 4: Simplify right side
    24,549.76x = 359,494,134.27
  5. Step 5: Solve for x
    x = 359,494,134.27/24,549.76
  6. Step 6: Final answer
    x = 14,643.49

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1.5x scale

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.