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Finding the Fourth Proportional to 21,019.24, 31,532.10 and 7,165

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Solution

The fourth proportional to 21,019.24, 31,532.10 and 7,165 is: 10,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.24 : 31,532.10 = 7,165 : x
  2. Step 2: Convert to fraction form
    21,019.24/31,532.10 = 7,165/x
  3. Step 3: Cross multiply
    21,019.24x = 31,532.10 × 7,165
  4. Step 4: Simplify right side
    21,019.24x = 225,927,496.50
  5. Step 5: Solve for x
    x = 225,927,496.50/21,019.24
  6. Step 6: Final answer
    x = 10,748.60

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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.