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Finding the Fourth Proportional to 10,299.67, 15,317 and 9,971.62

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Solution

The fourth proportional to 10,299.67, 15,317 and 9,971.62 is: 14,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.67 : 15,317 = 9,971.62 : x
  2. Step 2: Convert to fraction form
    10,299.67/15,317 = 9,971.62/x
  3. Step 3: Cross multiply
    10,299.67x = 15,317 × 9,971.62
  4. Step 4: Simplify right side
    10,299.67x = 152,735,303.54
  5. Step 5: Solve for x
    x = 152,735,303.54/10,299.67
  6. Step 6: Final answer
    x = 14,829.15

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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.