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Finding the Fourth Proportional to 13,308.24, 18,365.34 and 7,340

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Solution

The fourth proportional to 13,308.24, 18,365.34 and 7,340 is: 10,129.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,308.24 : 18,365.34 = 7,340 : x
  2. Step 2: Convert to fraction form
    13,308.24/18,365.34 = 7,340/x
  3. Step 3: Cross multiply
    13,308.24x = 18,365.34 × 7,340
  4. Step 4: Simplify right side
    13,308.24x = 134,801,595.60
  5. Step 5: Solve for x
    x = 134,801,595.60/13,308.24
  6. Step 6: Final answer
    x = 10,129.18

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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.