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Finding the Fourth Proportional to 13,103.60, 19,656 and 4,339.28

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Solution

The fourth proportional to 13,103.60, 19,656 and 4,339.28 is: 6,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,103.60 : 19,656 = 4,339.28 : x
  2. Step 2: Convert to fraction form
    13,103.60/19,656 = 4,339.28/x
  3. Step 3: Cross multiply
    13,103.60x = 19,656 × 4,339.28
  4. Step 4: Simplify right side
    13,103.60x = 85,292,887.68
  5. Step 5: Solve for x
    x = 85,292,887.68/13,103.60
  6. Step 6: Final answer
    x = 6,509.12

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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.