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Finding the Fourth Proportional to 13,464.60, 20,206.13 and 4,699.52

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Solution

The fourth proportional to 13,464.60, 20,206.13 and 4,699.52 is: 7,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.60 : 20,206.13 = 4,699.52 : x
  2. Step 2: Convert to fraction form
    13,464.60/20,206.13 = 4,699.52/x
  3. Step 3: Cross multiply
    13,464.60x = 20,206.13 × 4,699.52
  4. Step 4: Simplify right side
    13,464.60x = 94,959,102.95
  5. Step 5: Solve for x
    x = 94,959,102.95/13,464.60
  6. Step 6: Final answer
    x = 7,052.50

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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.