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Finding the Fourth Proportional to 21,005.40, 31,478.52 and 11,649.72

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Solution

The fourth proportional to 21,005.40, 31,478.52 and 11,649.72 is: 17,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.40 : 31,478.52 = 11,649.72 : x
  2. Step 2: Convert to fraction form
    21,005.40/31,478.52 = 11,649.72/x
  3. Step 3: Cross multiply
    21,005.40x = 31,478.52 × 11,649.72
  4. Step 4: Simplify right side
    21,005.40x = 366,715,944.01
  5. Step 5: Solve for x
    x = 366,715,944.01/21,005.40
  6. Step 6: Final answer
    x = 17,458.17

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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.