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Finding the Fourth Proportional to 21,858.58, 32,779.82 and 7,814.82

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Solution

The fourth proportional to 21,858.58, 32,779.82 and 7,814.82 is: 11,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.58 : 32,779.82 = 7,814.82 : x
  2. Step 2: Convert to fraction form
    21,858.58/32,779.82 = 7,814.82/x
  3. Step 3: Cross multiply
    21,858.58x = 32,779.82 × 7,814.82
  4. Step 4: Simplify right side
    21,858.58x = 256,168,392.93
  5. Step 5: Solve for x
    x = 256,168,392.93/21,858.58
  6. Step 6: Final answer
    x = 11,719.35

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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.