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Finding the Fourth Proportional to 21,656.96, 32,485.92 and 6,074.24

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Solution

The fourth proportional to 21,656.96, 32,485.92 and 6,074.24 is: 9,111.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.96 : 32,485.92 = 6,074.24 : x
  2. Step 2: Convert to fraction form
    21,656.96/32,485.92 = 6,074.24/x
  3. Step 3: Cross multiply
    21,656.96x = 32,485.92 × 6,074.24
  4. Step 4: Simplify right side
    21,656.96x = 197,327,274.70
  5. Step 5: Solve for x
    x = 197,327,274.70/21,656.96
  6. Step 6: Final answer
    x = 9,111.49

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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.