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Finding the Fourth Proportional to 21,424.76, 32,141.48 and 7,583.48

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Solution

The fourth proportional to 21,424.76, 32,141.48 and 7,583.48 is: 11,376.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,424.76 : 32,141.48 = 7,583.48 : x
  2. Step 2: Convert to fraction form
    21,424.76/32,141.48 = 7,583.48/x
  3. Step 3: Cross multiply
    21,424.76x = 32,141.48 × 7,583.48
  4. Step 4: Simplify right side
    21,424.76x = 243,744,270.75
  5. Step 5: Solve for x
    x = 243,744,270.75/21,424.76
  6. Step 6: Final answer
    x = 11,376.76

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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.