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Finding the Fourth Proportional to 12,129.15, 18,185.61 and 9,792.03

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Solution

The fourth proportional to 12,129.15, 18,185.61 and 9,792.03 is: 14,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.15 : 18,185.61 = 9,792.03 : x
  2. Step 2: Convert to fraction form
    12,129.15/18,185.61 = 9,792.03/x
  3. Step 3: Cross multiply
    12,129.15x = 18,185.61 × 9,792.03
  4. Step 4: Simplify right side
    12,129.15x = 178,074,038.69
  5. Step 5: Solve for x
    x = 178,074,038.69/12,129.15
  6. Step 6: Final answer
    x = 14,681.49

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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.