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Finding the Fourth Proportional to 14,510.31, 21,768.81 and 4,649.58

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Solution

The fourth proportional to 14,510.31, 21,768.81 and 4,649.58 is: 6,975.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.31 : 21,768.81 = 4,649.58 : x
  2. Step 2: Convert to fraction form
    14,510.31/21,768.81 = 4,649.58/x
  3. Step 3: Cross multiply
    14,510.31x = 21,768.81 × 4,649.58
  4. Step 4: Simplify right side
    14,510.31x = 101,215,823.60
  5. Step 5: Solve for x
    x = 101,215,823.60/14,510.31
  6. Step 6: Final answer
    x = 6,975.44

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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.