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Finding the Fourth Proportional to 13,153.62, 18,151.34 and 7,184.19

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Solution

The fourth proportional to 13,153.62, 18,151.34 and 7,184.19 is: 9,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.62 : 18,151.34 = 7,184.19 : x
  2. Step 2: Convert to fraction form
    13,153.62/18,151.34 = 7,184.19/x
  3. Step 3: Cross multiply
    13,153.62x = 18,151.34 × 7,184.19
  4. Step 4: Simplify right side
    13,153.62x = 130,402,639.39
  5. Step 5: Solve for x
    x = 130,402,639.39/13,153.62
  6. Step 6: Final answer
    x = 9,913.82

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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.