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Finding the Fourth Proportional to 24,975.84, 34,473.84 and 16,484.16

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Solution

The fourth proportional to 24,975.84, 34,473.84 and 16,484.16 is: 22,752.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,975.84 : 34,473.84 = 16,484.16 : x
  2. Step 2: Convert to fraction form
    24,975.84/34,473.84 = 16,484.16/x
  3. Step 3: Cross multiply
    24,975.84x = 34,473.84 × 16,484.16
  4. Step 4: Simplify right side
    24,975.84x = 568,272,294.37
  5. Step 5: Solve for x
    x = 568,272,294.37/24,975.84
  6. Step 6: Final answer
    x = 22,752.88

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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.