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Finding the Fourth Proportional to 21,402.78, 32,096.18 and 7,358.83

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Solution

The fourth proportional to 21,402.78, 32,096.18 and 7,358.83 is: 11,035.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.78 : 32,096.18 = 7,358.83 : x
  2. Step 2: Convert to fraction form
    21,402.78/32,096.18 = 7,358.83/x
  3. Step 3: Cross multiply
    21,402.78x = 32,096.18 × 7,358.83
  4. Step 4: Simplify right side
    21,402.78x = 236,190,332.27
  5. Step 5: Solve for x
    x = 236,190,332.27/21,402.78
  6. Step 6: Final answer
    x = 11,035.50

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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.