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Finding the Fourth Proportional to 12,384.95, 18,566.06 and 5,360.54

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Solution

The fourth proportional to 12,384.95, 18,566.06 and 5,360.54 is: 8,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.95 : 18,566.06 = 5,360.54 : x
  2. Step 2: Convert to fraction form
    12,384.95/18,566.06 = 5,360.54/x
  3. Step 3: Cross multiply
    12,384.95x = 18,566.06 × 5,360.54
  4. Step 4: Simplify right side
    12,384.95x = 99,523,987.64
  5. Step 5: Solve for x
    x = 99,523,987.64/12,384.95
  6. Step 6: Final answer
    x = 8,035.88

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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.