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Finding the Fourth Proportional to 38,381.94, 57,580.20 and 13,429.08

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Solution

The fourth proportional to 38,381.94, 57,580.20 and 13,429.08 is: 20,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,381.94 : 57,580.20 = 13,429.08 : x
  2. Step 2: Convert to fraction form
    38,381.94/57,580.20 = 13,429.08/x
  3. Step 3: Cross multiply
    38,381.94x = 57,580.20 × 13,429.08
  4. Step 4: Simplify right side
    38,381.94x = 773,249,112.22
  5. Step 5: Solve for x
    x = 773,249,112.22/38,381.94
  6. Step 6: Final answer
    x = 20,146.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.