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Finding the Fourth Proportional to 21,141, 31,710.29 and 6,349.59

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Solution

The fourth proportional to 21,141, 31,710.29 and 6,349.59 is: 9,524.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141 : 31,710.29 = 6,349.59 : x
  2. Step 2: Convert to fraction form
    21,141/31,710.29 = 6,349.59/x
  3. Step 3: Cross multiply
    21,141x = 31,710.29 × 6,349.59
  4. Step 4: Simplify right side
    21,141x = 201,347,308.53
  5. Step 5: Solve for x
    x = 201,347,308.53/21,141
  6. Step 6: Final answer
    x = 9,524.02

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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.