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Finding the Fourth Proportional to 21,884.99, 32,820.59 and 7,090.47

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Solution

The fourth proportional to 21,884.99, 32,820.59 and 7,090.47 is: 10,633.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,884.99 : 32,820.59 = 7,090.47 : x
  2. Step 2: Convert to fraction form
    21,884.99/32,820.59 = 7,090.47/x
  3. Step 3: Cross multiply
    21,884.99x = 32,820.59 × 7,090.47
  4. Step 4: Simplify right side
    21,884.99x = 232,713,426.50
  5. Step 5: Solve for x
    x = 232,713,426.50/21,884.99
  6. Step 6: Final answer
    x = 10,633.47

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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.