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Finding the Fourth Proportional to 15,794.84, 23,705.91 and 6,440.02

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Solution

The fourth proportional to 15,794.84, 23,705.91 and 6,440.02 is: 9,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,794.84 : 23,705.91 = 6,440.02 : x
  2. Step 2: Convert to fraction form
    15,794.84/23,705.91 = 6,440.02/x
  3. Step 3: Cross multiply
    15,794.84x = 23,705.91 × 6,440.02
  4. Step 4: Simplify right side
    15,794.84x = 152,666,475.25
  5. Step 5: Solve for x
    x = 152,666,475.25/15,794.84
  6. Step 6: Final answer
    x = 9,665.59

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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.