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Finding the Fourth Proportional to 16,658, 24,986.16 and 5,565.84

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Solution

The fourth proportional to 16,658, 24,986.16 and 5,565.84 is: 8,348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,658 : 24,986.16 = 5,565.84 : x
  2. Step 2: Convert to fraction form
    16,658/24,986.16 = 5,565.84/x
  3. Step 3: Cross multiply
    16,658x = 24,986.16 × 5,565.84
  4. Step 4: Simplify right side
    16,658x = 139,068,968.77
  5. Step 5: Solve for x
    x = 139,068,968.77/16,658
  6. Step 6: Final answer
    x = 8,348.48

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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.