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Finding the Fourth Proportional to 21,051.30, 31,577.76 and 5,468.52

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Solution

The fourth proportional to 21,051.30, 31,577.76 and 5,468.52 is: 8,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.30 : 31,577.76 = 5,468.52 : x
  2. Step 2: Convert to fraction form
    21,051.30/31,577.76 = 5,468.52/x
  3. Step 3: Cross multiply
    21,051.30x = 31,577.76 × 5,468.52
  4. Step 4: Simplify right side
    21,051.30x = 172,683,612.12
  5. Step 5: Solve for x
    x = 172,683,612.12/21,051.30
  6. Step 6: Final answer
    x = 8,202.99

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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.