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Finding the Fourth Proportional to 15,111.24, 22,662.88 and 6,786.60

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Solution

The fourth proportional to 15,111.24, 22,662.88 and 6,786.60 is: 10,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.24 : 22,662.88 = 6,786.60 : x
  2. Step 2: Convert to fraction form
    15,111.24/22,662.88 = 6,786.60/x
  3. Step 3: Cross multiply
    15,111.24x = 22,662.88 × 6,786.60
  4. Step 4: Simplify right side
    15,111.24x = 153,803,901.41
  5. Step 5: Solve for x
    x = 153,803,901.41/15,111.24
  6. Step 6: Final answer
    x = 10,178.11

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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.