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Finding the Fourth Proportional to 21,449.88, 32,176.32 and 6,656.82

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Solution

The fourth proportional to 21,449.88, 32,176.32 and 6,656.82 is: 9,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.88 : 32,176.32 = 6,656.82 : x
  2. Step 2: Convert to fraction form
    21,449.88/32,176.32 = 6,656.82/x
  3. Step 3: Cross multiply
    21,449.88x = 32,176.32 × 6,656.82
  4. Step 4: Simplify right side
    21,449.88x = 214,191,970.50
  5. Step 5: Solve for x
    x = 214,191,970.50/21,449.88
  6. Step 6: Final answer
    x = 9,985.70

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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.