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Finding the Fourth Proportional to 21,493.77, 32,242.20 and 9,001.23

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Solution

The fourth proportional to 21,493.77, 32,242.20 and 9,001.23 is: 13,502.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.77 : 32,242.20 = 9,001.23 : x
  2. Step 2: Convert to fraction form
    21,493.77/32,242.20 = 9,001.23/x
  3. Step 3: Cross multiply
    21,493.77x = 32,242.20 × 9,001.23
  4. Step 4: Simplify right side
    21,493.77x = 290,219,457.91
  5. Step 5: Solve for x
    x = 290,219,457.91/21,493.77
  6. Step 6: Final answer
    x = 13,502.49

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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.