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Finding the Fourth Proportional to 21,703.70, 32,502.97 and 15,021.47

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Solution

The fourth proportional to 21,703.70, 32,502.97 and 15,021.47 is: 22,495.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,703.70 : 32,502.97 = 15,021.47 : x
  2. Step 2: Convert to fraction form
    21,703.70/32,502.97 = 15,021.47/x
  3. Step 3: Cross multiply
    21,703.70x = 32,502.97 × 15,021.47
  4. Step 4: Simplify right side
    21,703.70x = 488,242,388.77
  5. Step 5: Solve for x
    x = 488,242,388.77/21,703.70
  6. Step 6: Final answer
    x = 22,495.81

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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.