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Finding the Fourth Proportional to 16,538.32, 22,823.40 and 9,464.32

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Solution

The fourth proportional to 16,538.32, 22,823.40 and 9,464.32 is: 13,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.32 : 22,823.40 = 9,464.32 : x
  2. Step 2: Convert to fraction form
    16,538.32/22,823.40 = 9,464.32/x
  3. Step 3: Cross multiply
    16,538.32x = 22,823.40 × 9,464.32
  4. Step 4: Simplify right side
    16,538.32x = 216,007,961.09
  5. Step 5: Solve for x
    x = 216,007,961.09/16,538.32
  6. Step 6: Final answer
    x = 13,061.06

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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.