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Finding the Fourth Proportional to 16,564.71, 22,851.26 and 9,845.57

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Solution

The fourth proportional to 16,564.71, 22,851.26 and 9,845.57 is: 13,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.71 : 22,851.26 = 9,845.57 : x
  2. Step 2: Convert to fraction form
    16,564.71/22,851.26 = 9,845.57/x
  3. Step 3: Cross multiply
    16,564.71x = 22,851.26 × 9,845.57
  4. Step 4: Simplify right side
    16,564.71x = 224,983,687.82
  5. Step 5: Solve for x
    x = 224,983,687.82/16,564.71
  6. Step 6: Final answer
    x = 13,582.11

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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.