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Finding the Fourth Proportional to 21,239.30, 31,858.74 and 5,656.93

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Solution

The fourth proportional to 21,239.30, 31,858.74 and 5,656.93 is: 8,485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,239.30 : 31,858.74 = 5,656.93 : x
  2. Step 2: Convert to fraction form
    21,239.30/31,858.74 = 5,656.93/x
  3. Step 3: Cross multiply
    21,239.30x = 31,858.74 × 5,656.93
  4. Step 4: Simplify right side
    21,239.30x = 180,222,582.42
  5. Step 5: Solve for x
    x = 180,222,582.42/21,239.30
  6. Step 6: Final answer
    x = 8,485.33

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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.