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Finding the Fourth Proportional to 15,576.48, 23,366 and 7,778.08

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Solution

The fourth proportional to 15,576.48, 23,366 and 7,778.08 is: 11,667.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,576.48 : 23,366 = 7,778.08 : x
  2. Step 2: Convert to fraction form
    15,576.48/23,366 = 7,778.08/x
  3. Step 3: Cross multiply
    15,576.48x = 23,366 × 7,778.08
  4. Step 4: Simplify right side
    15,576.48x = 181,742,617.28
  5. Step 5: Solve for x
    x = 181,742,617.28/15,576.48
  6. Step 6: Final answer
    x = 11,667.76

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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.