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Finding the Fourth Proportional to 21,139.94, 31,714.76 and 6,349.13

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Solution

The fourth proportional to 21,139.94, 31,714.76 and 6,349.13 is: 9,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,139.94 : 31,714.76 = 6,349.13 : x
  2. Step 2: Convert to fraction form
    21,139.94/31,714.76 = 6,349.13/x
  3. Step 3: Cross multiply
    21,139.94x = 31,714.76 × 6,349.13
  4. Step 4: Simplify right side
    21,139.94x = 201,360,943.84
  5. Step 5: Solve for x
    x = 201,360,943.84/21,139.94
  6. Step 6: Final answer
    x = 9,525.14

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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.