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Finding the Fourth Proportional to 13,155.63, 18,154.23 and 7,781.55

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Solution

The fourth proportional to 13,155.63, 18,154.23 and 7,781.55 is: 10,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155.63 : 18,154.23 = 7,781.55 : x
  2. Step 2: Convert to fraction form
    13,155.63/18,154.23 = 7,781.55/x
  3. Step 3: Cross multiply
    13,155.63x = 18,154.23 × 7,781.55
  4. Step 4: Simplify right side
    13,155.63x = 141,268,048.46
  5. Step 5: Solve for x
    x = 141,268,048.46/13,155.63
  6. Step 6: Final answer
    x = 10,738.22

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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.