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Finding the Fourth Proportional to 15,312.83, 22,957.70 and 7,817.49

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Solution

The fourth proportional to 15,312.83, 22,957.70 and 7,817.49 is: 11,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,312.83 : 22,957.70 = 7,817.49 : x
  2. Step 2: Convert to fraction form
    15,312.83/22,957.70 = 7,817.49/x
  3. Step 3: Cross multiply
    15,312.83x = 22,957.70 × 7,817.49
  4. Step 4: Simplify right side
    15,312.83x = 179,471,551.09
  5. Step 5: Solve for x
    x = 179,471,551.09/15,312.83
  6. Step 6: Final answer
    x = 11,720.34

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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.