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Finding the Fourth Proportional to 12,602.80, 17,415.84 and 9,453.52

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Solution

The fourth proportional to 12,602.80, 17,415.84 and 9,453.52 is: 13,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.80 : 17,415.84 = 9,453.52 : x
  2. Step 2: Convert to fraction form
    12,602.80/17,415.84 = 9,453.52/x
  3. Step 3: Cross multiply
    12,602.80x = 17,415.84 × 9,453.52
  4. Step 4: Simplify right side
    12,602.80x = 164,640,991.76
  5. Step 5: Solve for x
    x = 164,640,991.76/12,602.80
  6. Step 6: Final answer
    x = 13,063.84

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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.