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Finding the Fourth Proportional to 16,416, 24,637.44 and 11,495.52

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Solution

The fourth proportional to 16,416, 24,637.44 and 11,495.52 is: 17,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416 : 24,637.44 = 11,495.52 : x
  2. Step 2: Convert to fraction form
    16,416/24,637.44 = 11,495.52/x
  3. Step 3: Cross multiply
    16,416x = 24,637.44 × 11,495.52
  4. Step 4: Simplify right side
    16,416x = 283,220,184.27
  5. Step 5: Solve for x
    x = 283,220,184.27/16,416
  6. Step 6: Final answer
    x = 17,252.69

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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.