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Finding the Fourth Proportional to 13,339.02, 20,014.42 and 7,097.57

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Solution

The fourth proportional to 13,339.02, 20,014.42 and 7,097.57 is: 10,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,339.02 : 20,014.42 = 7,097.57 : x
  2. Step 2: Convert to fraction form
    13,339.02/20,014.42 = 7,097.57/x
  3. Step 3: Cross multiply
    13,339.02x = 20,014.42 × 7,097.57
  4. Step 4: Simplify right side
    13,339.02x = 142,053,746.96
  5. Step 5: Solve for x
    x = 142,053,746.96/13,339.02
  6. Step 6: Final answer
    x = 10,649.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.