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Finding the Fourth Proportional to 12,539.60, 17,296.80 and 8,069.16

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Solution

The fourth proportional to 12,539.60, 17,296.80 and 8,069.16 is: 11,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.60 : 17,296.80 = 8,069.16 : x
  2. Step 2: Convert to fraction form
    12,539.60/17,296.80 = 8,069.16/x
  3. Step 3: Cross multiply
    12,539.60x = 17,296.80 × 8,069.16
  4. Step 4: Simplify right side
    12,539.60x = 139,570,646.69
  5. Step 5: Solve for x
    x = 139,570,646.69/12,539.60
  6. Step 6: Final answer
    x = 11,130.39

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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.