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Finding the Fourth Proportional to 21,573.34, 32,359.10 and 6,781.93

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Solution

The fourth proportional to 21,573.34, 32,359.10 and 6,781.93 is: 10,172.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,573.34 : 32,359.10 = 6,781.93 : x
  2. Step 2: Convert to fraction form
    21,573.34/32,359.10 = 6,781.93/x
  3. Step 3: Cross multiply
    21,573.34x = 32,359.10 × 6,781.93
  4. Step 4: Simplify right side
    21,573.34x = 219,457,036.26
  5. Step 5: Solve for x
    x = 219,457,036.26/21,573.34
  6. Step 6: Final answer
    x = 10,172.60

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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.