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Finding the Fourth Proportional to 16,329, 22,534.02 and 9,705

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Solution

The fourth proportional to 16,329, 22,534.02 and 9,705 is: 13,392.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329 : 22,534.02 = 9,705 : x
  2. Step 2: Convert to fraction form
    16,329/22,534.02 = 9,705/x
  3. Step 3: Cross multiply
    16,329x = 22,534.02 × 9,705
  4. Step 4: Simplify right side
    16,329x = 218,692,664.10
  5. Step 5: Solve for x
    x = 218,692,664.10/16,329
  6. Step 6: Final answer
    x = 13,392.90

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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.