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Finding the Fourth Proportional to 13,059.86, 18,022.28 and 7,470.50

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Solution

The fourth proportional to 13,059.86, 18,022.28 and 7,470.50 is: 10,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.86 : 18,022.28 = 7,470.50 : x
  2. Step 2: Convert to fraction form
    13,059.86/18,022.28 = 7,470.50/x
  3. Step 3: Cross multiply
    13,059.86x = 18,022.28 × 7,470.50
  4. Step 4: Simplify right side
    13,059.86x = 134,635,442.74
  5. Step 5: Solve for x
    x = 134,635,442.74/13,059.86
  6. Step 6: Final answer
    x = 10,309.10

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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.