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Finding the Fourth Proportional to 15,165.54, 22,733.73 and 4,770

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Solution

The fourth proportional to 15,165.54, 22,733.73 and 4,770 is: 7,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.54 : 22,733.73 = 4,770 : x
  2. Step 2: Convert to fraction form
    15,165.54/22,733.73 = 4,770/x
  3. Step 3: Cross multiply
    15,165.54x = 22,733.73 × 4,770
  4. Step 4: Simplify right side
    15,165.54x = 108,439,892.10
  5. Step 5: Solve for x
    x = 108,439,892.10/15,165.54
  6. Step 6: Final answer
    x = 7,150.41

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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.