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Finding the Fourth Proportional to 14,485.50, 19,991.21 and 9,178.38

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Solution

The fourth proportional to 14,485.50, 19,991.21 and 9,178.38 is: 12,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.50 : 19,991.21 = 9,178.38 : x
  2. Step 2: Convert to fraction form
    14,485.50/19,991.21 = 9,178.38/x
  3. Step 3: Cross multiply
    14,485.50x = 19,991.21 × 9,178.38
  4. Step 4: Simplify right side
    14,485.50x = 183,486,876.15
  5. Step 5: Solve for x
    x = 183,486,876.15/14,485.50
  6. Step 6: Final answer
    x = 12,666.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.