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Finding the Fourth Proportional to 12,577.60, 17,311.26 and 11,075.68

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Solution

The fourth proportional to 12,577.60, 17,311.26 and 11,075.68 is: 15,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.60 : 17,311.26 = 11,075.68 : x
  2. Step 2: Convert to fraction form
    12,577.60/17,311.26 = 11,075.68/x
  3. Step 3: Cross multiply
    12,577.60x = 17,311.26 × 11,075.68
  4. Step 4: Simplify right side
    12,577.60x = 191,733,976.16
  5. Step 5: Solve for x
    x = 191,733,976.16/12,577.60
  6. Step 6: Final answer
    x = 15,244.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.