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Finding the Fourth Proportional to 15,388, 23,082.08 and 4,444

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Solution

The fourth proportional to 15,388, 23,082.08 and 4,444 is: 6,666.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,388 : 23,082.08 = 4,444 : x
  2. Step 2: Convert to fraction form
    15,388/23,082.08 = 4,444/x
  3. Step 3: Cross multiply
    15,388x = 23,082.08 × 4,444
  4. Step 4: Simplify right side
    15,388x = 102,576,763.52
  5. Step 5: Solve for x
    x = 102,576,763.52/15,388
  6. Step 6: Final answer
    x = 6,666.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.