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Finding the Fourth Proportional to 21,051.38, 31,551.93 and 9,791.53

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Solution

The fourth proportional to 21,051.38, 31,551.93 and 9,791.53 is: 14,675.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,051.38 : 31,551.93 = 9,791.53 : x
  2. Step 2: Convert to fraction form
    21,051.38/31,551.93 = 9,791.53/x
  3. Step 3: Cross multiply
    21,051.38x = 31,551.93 × 9,791.53
  4. Step 4: Simplify right side
    21,051.38x = 308,941,590.27
  5. Step 5: Solve for x
    x = 308,941,590.27/21,051.38
  6. Step 6: Final answer
    x = 14,675.60

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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.