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Finding the Fourth Proportional to 16,538.88, 22,823.04 and 9,465.12

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Solution

The fourth proportional to 16,538.88, 22,823.04 and 9,465.12 is: 13,061.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.88 : 22,823.04 = 9,465.12 : x
  2. Step 2: Convert to fraction form
    16,538.88/22,823.04 = 9,465.12/x
  3. Step 3: Cross multiply
    16,538.88x = 22,823.04 × 9,465.12
  4. Step 4: Simplify right side
    16,538.88x = 216,022,812.36
  5. Step 5: Solve for x
    x = 216,022,812.36/16,538.88
  6. Step 6: Final answer
    x = 13,061.51

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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.