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Finding the Fourth Proportional to 38,015.20, 57,017.40 and 13,056.40

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Solution

The fourth proportional to 38,015.20, 57,017.40 and 13,056.40 is: 19,582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,015.20 : 57,017.40 = 13,056.40 : x
  2. Step 2: Convert to fraction form
    38,015.20/57,017.40 = 13,056.40/x
  3. Step 3: Cross multiply
    38,015.20x = 57,017.40 × 13,056.40
  4. Step 4: Simplify right side
    38,015.20x = 744,441,981.36
  5. Step 5: Solve for x
    x = 744,441,981.36/38,015.20
  6. Step 6: Final answer
    x = 19,582.75

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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.