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Finding the Fourth Proportional to 15,833.94, 23,743.98 and 7,516.35

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Solution

The fourth proportional to 15,833.94, 23,743.98 and 7,516.35 is: 11,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.94 : 23,743.98 = 7,516.35 : x
  2. Step 2: Convert to fraction form
    15,833.94/23,743.98 = 7,516.35/x
  3. Step 3: Cross multiply
    15,833.94x = 23,743.98 × 7,516.35
  4. Step 4: Simplify right side
    15,833.94x = 178,468,064.07
  5. Step 5: Solve for x
    x = 178,468,064.07/15,833.94
  6. Step 6: Final answer
    x = 11,271.24

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Why These Related Problems?

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