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Finding the Fourth Proportional to 15,094.72, 20,822.16 and 9,496

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Solution

The fourth proportional to 15,094.72, 20,822.16 and 9,496 is: 13,099.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094.72 : 20,822.16 = 9,496 : x
  2. Step 2: Convert to fraction form
    15,094.72/20,822.16 = 9,496/x
  3. Step 3: Cross multiply
    15,094.72x = 20,822.16 × 9,496
  4. Step 4: Simplify right side
    15,094.72x = 197,727,231.36
  5. Step 5: Solve for x
    x = 197,727,231.36/15,094.72
  6. Step 6: Final answer
    x = 13,099.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.