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Finding the Fourth Proportional to 15,223.41, 22,802.67 and 7,314.30

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Solution

The fourth proportional to 15,223.41, 22,802.67 and 7,314.30 is: 10,955.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,223.41 : 22,802.67 = 7,314.30 : x
  2. Step 2: Convert to fraction form
    15,223.41/22,802.67 = 7,314.30/x
  3. Step 3: Cross multiply
    15,223.41x = 22,802.67 × 7,314.30
  4. Step 4: Simplify right side
    15,223.41x = 166,785,569.18
  5. Step 5: Solve for x
    x = 166,785,569.18/15,223.41
  6. Step 6: Final answer
    x = 10,955.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.