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Finding the Fourth Proportional to 21,925.90, 32,894.31 and 6,343.53

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Solution

The fourth proportional to 21,925.90, 32,894.31 and 6,343.53 is: 9,516.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,925.90 : 32,894.31 = 6,343.53 : x
  2. Step 2: Convert to fraction form
    21,925.90/32,894.31 = 6,343.53/x
  3. Step 3: Cross multiply
    21,925.90x = 32,894.31 × 6,343.53
  4. Step 4: Simplify right side
    21,925.90x = 208,666,042.31
  5. Step 5: Solve for x
    x = 208,666,042.31/21,925.90
  6. Step 6: Final answer
    x = 9,516.87

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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.