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Finding the Fourth Proportional to 16,365.52, 22,583.64 and 9,291

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Solution

The fourth proportional to 16,365.52, 22,583.64 and 9,291 is: 12,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.52 : 22,583.64 = 9,291 : x
  2. Step 2: Convert to fraction form
    16,365.52/22,583.64 = 9,291/x
  3. Step 3: Cross multiply
    16,365.52x = 22,583.64 × 9,291
  4. Step 4: Simplify right side
    16,365.52x = 209,824,599.24
  5. Step 5: Solve for x
    x = 209,824,599.24/16,365.52
  6. Step 6: Final answer
    x = 12,821.14

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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.