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Finding the Fourth Proportional to 12,384.75, 18,580.01 and 4,176.75

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Solution

The fourth proportional to 12,384.75, 18,580.01 and 4,176.75 is: 6,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,384.75 : 18,580.01 = 4,176.75 : x
  2. Step 2: Convert to fraction form
    12,384.75/18,580.01 = 4,176.75/x
  3. Step 3: Cross multiply
    12,384.75x = 18,580.01 × 4,176.75
  4. Step 4: Simplify right side
    12,384.75x = 77,604,056.77
  5. Step 5: Solve for x
    x = 77,604,056.77/12,384.75
  6. Step 6: Final answer
    x = 6,266.10

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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.