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Finding the Fourth Proportional to 15,382.67, 21,228.10 and 8,309.10

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Solution

The fourth proportional to 15,382.67, 21,228.10 and 8,309.10 is: 11,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.67 : 21,228.10 = 8,309.10 : x
  2. Step 2: Convert to fraction form
    15,382.67/21,228.10 = 8,309.10/x
  3. Step 3: Cross multiply
    15,382.67x = 21,228.10 × 8,309.10
  4. Step 4: Simplify right side
    15,382.67x = 176,386,405.71
  5. Step 5: Solve for x
    x = 176,386,405.71/15,382.67
  6. Step 6: Final answer
    x = 11,466.57

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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.