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Finding the Fourth Proportional to 13,066.50, 18,034.20 and 7,477.50

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Solution

The fourth proportional to 13,066.50, 18,034.20 and 7,477.50 is: 10,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.50 : 18,034.20 = 7,477.50 : x
  2. Step 2: Convert to fraction form
    13,066.50/18,034.20 = 7,477.50/x
  3. Step 3: Cross multiply
    13,066.50x = 18,034.20 × 7,477.50
  4. Step 4: Simplify right side
    13,066.50x = 134,850,730.50
  5. Step 5: Solve for x
    x = 134,850,730.50/13,066.50
  6. Step 6: Final answer
    x = 10,320.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.