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Finding the Fourth Proportional to 15,257.84, 22,889.10 and 6,490.40

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Solution

The fourth proportional to 15,257.84, 22,889.10 and 6,490.40 is: 9,736.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,257.84 : 22,889.10 = 6,490.40 : x
  2. Step 2: Convert to fraction form
    15,257.84/22,889.10 = 6,490.40/x
  3. Step 3: Cross multiply
    15,257.84x = 22,889.10 × 6,490.40
  4. Step 4: Simplify right side
    15,257.84x = 148,559,414.64
  5. Step 5: Solve for x
    x = 148,559,414.64/15,257.84
  6. Step 6: Final answer
    x = 9,736.60

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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.