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Finding the Fourth Proportional to 23,332, 32,198.16 and 13,913.32

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Solution

The fourth proportional to 23,332, 32,198.16 and 13,913.32 is: 19,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,332 : 32,198.16 = 13,913.32 : x
  2. Step 2: Convert to fraction form
    23,332/32,198.16 = 13,913.32/x
  3. Step 3: Cross multiply
    23,332x = 32,198.16 × 13,913.32
  4. Step 4: Simplify right side
    23,332x = 447,983,303.49
  5. Step 5: Solve for x
    x = 447,983,303.49/23,332
  6. Step 6: Final answer
    x = 19,200.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.