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Finding the Fourth Proportional to 13,309.10, 18,365.88 and 7,340.40

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Solution

The fourth proportional to 13,309.10, 18,365.88 and 7,340.40 is: 10,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.10 : 18,365.88 = 7,340.40 : x
  2. Step 2: Convert to fraction form
    13,309.10/18,365.88 = 7,340.40/x
  3. Step 3: Cross multiply
    13,309.10x = 18,365.88 × 7,340.40
  4. Step 4: Simplify right side
    13,309.10x = 134,812,905.55
  5. Step 5: Solve for x
    x = 134,812,905.55/13,309.10
  6. Step 6: Final answer
    x = 10,129.38

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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.