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Finding the Fourth Proportional to 19,689.25, 29,539.58 and 6,364.27

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Solution

The fourth proportional to 19,689.25, 29,539.58 and 6,364.27 is: 9,548.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,689.25 : 29,539.58 = 6,364.27 : x
  2. Step 2: Convert to fraction form
    19,689.25/29,539.58 = 6,364.27/x
  3. Step 3: Cross multiply
    19,689.25x = 29,539.58 × 6,364.27
  4. Step 4: Simplify right side
    19,689.25x = 187,997,862.81
  5. Step 5: Solve for x
    x = 187,997,862.81/19,689.25
  6. Step 6: Final answer
    x = 9,548.25

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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.