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Finding the Fourth Proportional to 10,299.17, 15,524.89 and 9,697.15

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Solution

The fourth proportional to 10,299.17, 15,524.89 and 9,697.15 is: 14,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.17 : 15,524.89 = 9,697.15 : x
  2. Step 2: Convert to fraction form
    10,299.17/15,524.89 = 9,697.15/x
  3. Step 3: Cross multiply
    10,299.17x = 15,524.89 × 9,697.15
  4. Step 4: Simplify right side
    10,299.17x = 150,547,187.06
  5. Step 5: Solve for x
    x = 150,547,187.06/10,299.17
  6. Step 6: Final answer
    x = 14,617.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.