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Finding the Fourth Proportional to 15,642.02, 23,463.22 and 5,111.96

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Solution

The fourth proportional to 15,642.02, 23,463.22 and 5,111.96 is: 7,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.02 : 23,463.22 = 5,111.96 : x
  2. Step 2: Convert to fraction form
    15,642.02/23,463.22 = 5,111.96/x
  3. Step 3: Cross multiply
    15,642.02x = 23,463.22 × 5,111.96
  4. Step 4: Simplify right side
    15,642.02x = 119,943,042.11
  5. Step 5: Solve for x
    x = 119,943,042.11/15,642.02
  6. Step 6: Final answer
    x = 7,668.00

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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.