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Finding the Fourth Proportional to 16,564.95, 22,863.20 and 10,900.22

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Solution

The fourth proportional to 16,564.95, 22,863.20 and 10,900.22 is: 15,044.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.95 : 22,863.20 = 10,900.22 : x
  2. Step 2: Convert to fraction form
    16,564.95/22,863.20 = 10,900.22/x
  3. Step 3: Cross multiply
    16,564.95x = 22,863.20 × 10,900.22
  4. Step 4: Simplify right side
    16,564.95x = 249,213,741.09
  5. Step 5: Solve for x
    x = 249,213,741.09/16,564.95
  6. Step 6: Final answer
    x = 15,044.64

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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.