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Finding the Fourth Proportional to 10,299.30, 15,316.44 and 9,971.24

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Solution

The fourth proportional to 10,299.30, 15,316.44 and 9,971.24 is: 14,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.30 : 15,316.44 = 9,971.24 : x
  2. Step 2: Convert to fraction form
    10,299.30/15,316.44 = 9,971.24/x
  3. Step 3: Cross multiply
    10,299.30x = 15,316.44 × 9,971.24
  4. Step 4: Simplify right side
    10,299.30x = 152,723,899.19
  5. Step 5: Solve for x
    x = 152,723,899.19/10,299.30
  6. Step 6: Final answer
    x = 14,828.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.