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Finding the Fourth Proportional to 15,316.56, 22,964.11 and 7,822.40

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Solution

The fourth proportional to 15,316.56, 22,964.11 and 7,822.40 is: 11,728.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316.56 : 22,964.11 = 7,822.40 : x
  2. Step 2: Convert to fraction form
    15,316.56/22,964.11 = 7,822.40/x
  3. Step 3: Cross multiply
    15,316.56x = 22,964.11 × 7,822.40
  4. Step 4: Simplify right side
    15,316.56x = 179,634,384.27
  5. Step 5: Solve for x
    x = 179,634,384.27/15,316.56
  6. Step 6: Final answer
    x = 11,728.12

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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.