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Finding the Fourth Proportional to 21,462.06, 32,189.16 and 8,978.76

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Solution

The fourth proportional to 21,462.06, 32,189.16 and 8,978.76 is: 13,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,462.06 : 32,189.16 = 8,978.76 : x
  2. Step 2: Convert to fraction form
    21,462.06/32,189.16 = 8,978.76/x
  3. Step 3: Cross multiply
    21,462.06x = 32,189.16 × 8,978.76
  4. Step 4: Simplify right side
    21,462.06x = 289,018,742.24
  5. Step 5: Solve for x
    x = 289,018,742.24/21,462.06
  6. Step 6: Final answer
    x = 13,466.50

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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.