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Finding the Fourth Proportional to 12,199.66, 18,302.07 and 4,703.41

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Solution

The fourth proportional to 12,199.66, 18,302.07 and 4,703.41 is: 7,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.66 : 18,302.07 = 4,703.41 : x
  2. Step 2: Convert to fraction form
    12,199.66/18,302.07 = 4,703.41/x
  3. Step 3: Cross multiply
    12,199.66x = 18,302.07 × 4,703.41
  4. Step 4: Simplify right side
    12,199.66x = 86,082,047.55
  5. Step 5: Solve for x
    x = 86,082,047.55/12,199.66
  6. Step 6: Final answer
    x = 7,056.11

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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.