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Finding the Fourth Proportional to 12,381.60, 17,054.64 and 10,135.20

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Solution

The fourth proportional to 12,381.60, 17,054.64 and 10,135.20 is: 13,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.60 : 17,054.64 = 10,135.20 : x
  2. Step 2: Convert to fraction form
    12,381.60/17,054.64 = 10,135.20/x
  3. Step 3: Cross multiply
    12,381.60x = 17,054.64 × 10,135.20
  4. Step 4: Simplify right side
    12,381.60x = 172,852,187.33
  5. Step 5: Solve for x
    x = 172,852,187.33/12,381.60
  6. Step 6: Final answer
    x = 13,960.41

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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.