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Finding the Fourth Proportional to 38,417.60, 57,630.24 and 13,787.84

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Solution

The fourth proportional to 38,417.60, 57,630.24 and 13,787.84 is: 20,683.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.60 : 57,630.24 = 13,787.84 : x
  2. Step 2: Convert to fraction form
    38,417.60/57,630.24 = 13,787.84/x
  3. Step 3: Cross multiply
    38,417.60x = 57,630.24 × 13,787.84
  4. Step 4: Simplify right side
    38,417.60x = 794,596,528.28
  5. Step 5: Solve for x
    x = 794,596,528.28/38,417.60
  6. Step 6: Final answer
    x = 20,683.14

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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.