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Finding the Fourth Proportional to 23,102.51, 34,658.04 and 7,311.52

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Solution

The fourth proportional to 23,102.51, 34,658.04 and 7,311.52 is: 10,968.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.51 : 34,658.04 = 7,311.52 : x
  2. Step 2: Convert to fraction form
    23,102.51/34,658.04 = 7,311.52/x
  3. Step 3: Cross multiply
    23,102.51x = 34,658.04 × 7,311.52
  4. Step 4: Simplify right side
    23,102.51x = 253,402,742.77
  5. Step 5: Solve for x
    x = 253,402,742.77/23,102.51
  6. Step 6: Final answer
    x = 10,968.62

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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.