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Finding the Fourth Proportional to 15,694.16, 23,521.23 and 7,355.79

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Solution

The fourth proportional to 15,694.16, 23,521.23 and 7,355.79 is: 11,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.16 : 23,521.23 = 7,355.79 : x
  2. Step 2: Convert to fraction form
    15,694.16/23,521.23 = 7,355.79/x
  3. Step 3: Cross multiply
    15,694.16x = 23,521.23 × 7,355.79
  4. Step 4: Simplify right side
    15,694.16x = 173,017,228.42
  5. Step 5: Solve for x
    x = 173,017,228.42/15,694.16
  6. Step 6: Final answer
    x = 11,024.31

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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.