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Finding the Fourth Proportional to 13,098.40, 18,076.77 and 7,434.13

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Solution

The fourth proportional to 13,098.40, 18,076.77 and 7,434.13 is: 10,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.40 : 18,076.77 = 7,434.13 : x
  2. Step 2: Convert to fraction form
    13,098.40/18,076.77 = 7,434.13/x
  3. Step 3: Cross multiply
    13,098.40x = 18,076.77 × 7,434.13
  4. Step 4: Simplify right side
    13,098.40x = 134,385,058.16
  5. Step 5: Solve for x
    x = 134,385,058.16/13,098.40
  6. Step 6: Final answer
    x = 10,259.65

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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.