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Finding the Fourth Proportional to 16,538.93, 22,825.71 and 9,465.20

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Solution

The fourth proportional to 16,538.93, 22,825.71 and 9,465.20 is: 13,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.93 : 22,825.71 = 9,465.20 : x
  2. Step 2: Convert to fraction form
    16,538.93/22,825.71 = 9,465.20/x
  3. Step 3: Cross multiply
    16,538.93x = 22,825.71 × 9,465.20
  4. Step 4: Simplify right side
    16,538.93x = 216,049,796.16
  5. Step 5: Solve for x
    x = 216,049,796.16/16,538.93
  6. Step 6: Final answer
    x = 13,063.11

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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.