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Finding the Fourth Proportional to 21,459.67, 32,186.77 and 8,303.04

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Solution

The fourth proportional to 21,459.67, 32,186.77 and 8,303.04 is: 12,453.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,459.67 : 32,186.77 = 8,303.04 : x
  2. Step 2: Convert to fraction form
    21,459.67/32,186.77 = 8,303.04/x
  3. Step 3: Cross multiply
    21,459.67x = 32,186.77 × 8,303.04
  4. Step 4: Simplify right side
    21,459.67x = 267,248,018.02
  5. Step 5: Solve for x
    x = 267,248,018.02/21,459.67
  6. Step 6: Final answer
    x = 12,453.50

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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.