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Finding the Fourth Proportional to 13,155, 18,154.44 and 7,566

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Solution

The fourth proportional to 13,155, 18,154.44 and 7,566 is: 10,441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,155 : 18,154.44 = 7,566 : x
  2. Step 2: Convert to fraction form
    13,155/18,154.44 = 7,566/x
  3. Step 3: Cross multiply
    13,155x = 18,154.44 × 7,566
  4. Step 4: Simplify right side
    13,155x = 137,356,493.04
  5. Step 5: Solve for x
    x = 137,356,493.04/13,155
  6. Step 6: Final answer
    x = 10,441.39

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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.