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Finding the Fourth Proportional to 23,652, 32,646.24 and 16,109.28

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Solution

The fourth proportional to 23,652, 32,646.24 and 16,109.28 is: 22,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652 : 32,646.24 = 16,109.28 : x
  2. Step 2: Convert to fraction form
    23,652/32,646.24 = 16,109.28/x
  3. Step 3: Cross multiply
    23,652x = 32,646.24 × 16,109.28
  4. Step 4: Simplify right side
    23,652x = 525,907,421.11
  5. Step 5: Solve for x
    x = 525,907,421.11/23,652
  6. Step 6: Final answer
    x = 22,235.22

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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.