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Finding the Fourth Proportional to 15,816.96, 23,684.64 and 15,349.92

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Solution

The fourth proportional to 15,816.96, 23,684.64 and 15,349.92 is: 22,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,816.96 : 23,684.64 = 15,349.92 : x
  2. Step 2: Convert to fraction form
    15,816.96/23,684.64 = 15,349.92/x
  3. Step 3: Cross multiply
    15,816.96x = 23,684.64 × 15,349.92
  4. Step 4: Simplify right side
    15,816.96x = 363,557,329.23
  5. Step 5: Solve for x
    x = 363,557,329.23/15,816.96
  6. Step 6: Final answer
    x = 22,985.28

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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.