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Finding the Fourth Proportional to 15,833.69, 23,710.36 and 9,504.64

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Solution

The fourth proportional to 15,833.69, 23,710.36 and 9,504.64 is: 14,232.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.69 : 23,710.36 = 9,504.64 : x
  2. Step 2: Convert to fraction form
    15,833.69/23,710.36 = 9,504.64/x
  3. Step 3: Cross multiply
    15,833.69x = 23,710.36 × 9,504.64
  4. Step 4: Simplify right side
    15,833.69x = 225,358,326.40
  5. Step 5: Solve for x
    x = 225,358,326.40/15,833.69
  6. Step 6: Final answer
    x = 14,232.83

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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.