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Finding the Fourth Proportional to 13,461, 18,576.90 and 7,875.24

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Solution

The fourth proportional to 13,461, 18,576.90 and 7,875.24 is: 10,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461 : 18,576.90 = 7,875.24 : x
  2. Step 2: Convert to fraction form
    13,461/18,576.90 = 7,875.24/x
  3. Step 3: Cross multiply
    13,461x = 18,576.90 × 7,875.24
  4. Step 4: Simplify right side
    13,461x = 146,297,545.96
  5. Step 5: Solve for x
    x = 146,297,545.96/13,461
  6. Step 6: Final answer
    x = 10,868.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.