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Finding the Fourth Proportional to 13,152.39, 18,149.78 and 7,184.06

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Solution

The fourth proportional to 13,152.39, 18,149.78 and 7,184.06 is: 9,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.39 : 18,149.78 = 7,184.06 : x
  2. Step 2: Convert to fraction form
    13,152.39/18,149.78 = 7,184.06/x
  3. Step 3: Cross multiply
    13,152.39x = 18,149.78 × 7,184.06
  4. Step 4: Simplify right side
    13,152.39x = 130,389,108.51
  5. Step 5: Solve for x
    x = 130,389,108.51/13,152.39
  6. Step 6: Final answer
    x = 9,913.72

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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.