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Finding the Fourth Proportional to 16,634.12, 22,956.66 and 9,564.68

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Solution

The fourth proportional to 16,634.12, 22,956.66 and 9,564.68 is: 13,200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634.12 : 22,956.66 = 9,564.68 : x
  2. Step 2: Convert to fraction form
    16,634.12/22,956.66 = 9,564.68/x
  3. Step 3: Cross multiply
    16,634.12x = 22,956.66 × 9,564.68
  4. Step 4: Simplify right side
    16,634.12x = 219,573,106.77
  5. Step 5: Solve for x
    x = 219,573,106.77/16,634.12
  6. Step 6: Final answer
    x = 13,200.16

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