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Finding the Fourth Proportional to 21,498.36, 32,234.40 and 9,649.92

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Solution

The fourth proportional to 21,498.36, 32,234.40 and 9,649.92 is: 14,468.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498.36 : 32,234.40 = 9,649.92 : x
  2. Step 2: Convert to fraction form
    21,498.36/32,234.40 = 9,649.92/x
  3. Step 3: Cross multiply
    21,498.36x = 32,234.40 × 9,649.92
  4. Step 4: Simplify right side
    21,498.36x = 311,059,381.25
  5. Step 5: Solve for x
    x = 311,059,381.25/21,498.36
  6. Step 6: Final answer
    x = 14,468.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.