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Finding the Fourth Proportional to 23,220.20, 32,053.04 and 15,671

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Solution

The fourth proportional to 23,220.20, 32,053.04 and 15,671 is: 21,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,220.20 : 32,053.04 = 15,671 : x
  2. Step 2: Convert to fraction form
    23,220.20/32,053.04 = 15,671/x
  3. Step 3: Cross multiply
    23,220.20x = 32,053.04 × 15,671
  4. Step 4: Simplify right side
    23,220.20x = 502,303,189.84
  5. Step 5: Solve for x
    x = 502,303,189.84/23,220.20
  6. Step 6: Final answer
    x = 21,632.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.