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Finding the Fourth Proportional to 15,638.01, 23,457.22 and 5,107.95

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Solution

The fourth proportional to 15,638.01, 23,457.22 and 5,107.95 is: 7,661.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.01 : 23,457.22 = 5,107.95 : x
  2. Step 2: Convert to fraction form
    15,638.01/23,457.22 = 5,107.95/x
  3. Step 3: Cross multiply
    15,638.01x = 23,457.22 × 5,107.95
  4. Step 4: Simplify right side
    15,638.01x = 119,818,306.90
  5. Step 5: Solve for x
    x = 119,818,306.90/15,638.01
  6. Step 6: Final answer
    x = 7,661.99

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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.