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Finding the Fourth Proportional to 16,263.36, 24,408 and 6,407.28

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Solution

The fourth proportional to 16,263.36, 24,408 and 6,407.28 is: 9,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,263.36 : 24,408 = 6,407.28 : x
  2. Step 2: Convert to fraction form
    16,263.36/24,408 = 6,407.28/x
  3. Step 3: Cross multiply
    16,263.36x = 24,408 × 6,407.28
  4. Step 4: Simplify right side
    16,263.36x = 156,388,890.24
  5. Step 5: Solve for x
    x = 156,388,890.24/16,263.36
  6. Step 6: Final answer
    x = 9,616.03

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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.