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Finding the Fourth Proportional to 13,152.58, 18,131.68 and 8,113.40

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Solution

The fourth proportional to 13,152.58, 18,131.68 and 8,113.40 is: 11,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152.58 : 18,131.68 = 8,113.40 : x
  2. Step 2: Convert to fraction form
    13,152.58/18,131.68 = 8,113.40/x
  3. Step 3: Cross multiply
    13,152.58x = 18,131.68 × 8,113.40
  4. Step 4: Simplify right side
    13,152.58x = 147,109,441.29
  5. Step 5: Solve for x
    x = 147,109,441.29/13,152.58
  6. Step 6: Final answer
    x = 11,184.84

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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.