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Finding the Fourth Proportional to 13,362, 20,033.76 and 9,616.08

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Solution

The fourth proportional to 13,362, 20,033.76 and 9,616.08 is: 14,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,362 : 20,033.76 = 9,616.08 : x
  2. Step 2: Convert to fraction form
    13,362/20,033.76 = 9,616.08/x
  3. Step 3: Cross multiply
    13,362x = 20,033.76 × 9,616.08
  4. Step 4: Simplify right side
    13,362x = 192,646,238.86
  5. Step 5: Solve for x
    x = 192,646,238.86/13,362
  6. Step 6: Final answer
    x = 14,417.47

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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.