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Finding the Fourth Proportional to 21,106.71, 31,649.49 and 7,779.06

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Solution

The fourth proportional to 21,106.71, 31,649.49 and 7,779.06 is: 11,664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.71 : 31,649.49 = 7,779.06 : x
  2. Step 2: Convert to fraction form
    21,106.71/31,649.49 = 7,779.06/x
  3. Step 3: Cross multiply
    21,106.71x = 31,649.49 × 7,779.06
  4. Step 4: Simplify right side
    21,106.71x = 246,203,281.68
  5. Step 5: Solve for x
    x = 246,203,281.68/21,106.71
  6. Step 6: Final answer
    x = 11,664.69

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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.