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Finding the Fourth Proportional to 21,710.80, 32,544.60 and 10,003.60

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Solution

The fourth proportional to 21,710.80, 32,544.60 and 10,003.60 is: 14,995.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.80 : 32,544.60 = 10,003.60 : x
  2. Step 2: Convert to fraction form
    21,710.80/32,544.60 = 10,003.60/x
  3. Step 3: Cross multiply
    21,710.80x = 32,544.60 × 10,003.60
  4. Step 4: Simplify right side
    21,710.80x = 325,563,160.56
  5. Step 5: Solve for x
    x = 325,563,160.56/21,710.80
  6. Step 6: Final answer
    x = 14,995.45

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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.