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Finding the Fourth Proportional to 16,506.90, 24,764.90 and 4,820.12

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Solution

The fourth proportional to 16,506.90, 24,764.90 and 4,820.12 is: 7,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.90 : 24,764.90 = 4,820.12 : x
  2. Step 2: Convert to fraction form
    16,506.90/24,764.90 = 4,820.12/x
  3. Step 3: Cross multiply
    16,506.90x = 24,764.90 × 4,820.12
  4. Step 4: Simplify right side
    16,506.90x = 119,369,641.86
  5. Step 5: Solve for x
    x = 119,369,641.86/16,506.90
  6. Step 6: Final answer
    x = 7,231.50

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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.