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Finding the Fourth Proportional to 15,998.16, 24,022.80 and 9,429.60

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Solution

The fourth proportional to 15,998.16, 24,022.80 and 9,429.60 is: 14,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,998.16 : 24,022.80 = 9,429.60 : x
  2. Step 2: Convert to fraction form
    15,998.16/24,022.80 = 9,429.60/x
  3. Step 3: Cross multiply
    15,998.16x = 24,022.80 × 9,429.60
  4. Step 4: Simplify right side
    15,998.16x = 226,525,394.88
  5. Step 5: Solve for x
    x = 226,525,394.88/15,998.16
  6. Step 6: Final answer
    x = 14,159.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.