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Finding the Fourth Proportional to 21,357.24, 32,035.86 and 7,503

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Solution

The fourth proportional to 21,357.24, 32,035.86 and 7,503 is: 11,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.24 : 32,035.86 = 7,503 : x
  2. Step 2: Convert to fraction form
    21,357.24/32,035.86 = 7,503/x
  3. Step 3: Cross multiply
    21,357.24x = 32,035.86 × 7,503
  4. Step 4: Simplify right side
    21,357.24x = 240,365,057.58
  5. Step 5: Solve for x
    x = 240,365,057.58/21,357.24
  6. Step 6: Final answer
    x = 11,254.50

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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.