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Finding the Fourth Proportional to 21,602.73, 32,412.44 and 7,564.31

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Solution

The fourth proportional to 21,602.73, 32,412.44 and 7,564.31 is: 11,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.73 : 32,412.44 = 7,564.31 : x
  2. Step 2: Convert to fraction form
    21,602.73/32,412.44 = 7,564.31/x
  3. Step 3: Cross multiply
    21,602.73x = 32,412.44 × 7,564.31
  4. Step 4: Simplify right side
    21,602.73x = 245,177,744.02
  5. Step 5: Solve for x
    x = 245,177,744.02/21,602.73
  6. Step 6: Final answer
    x = 11,349.39

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1.5x scale

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.