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Finding the Fourth Proportional to 13,548.90, 20,329.74 and 4,787.94

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Solution

The fourth proportional to 13,548.90, 20,329.74 and 4,787.94 is: 7,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.90 : 20,329.74 = 4,787.94 : x
  2. Step 2: Convert to fraction form
    13,548.90/20,329.74 = 4,787.94/x
  3. Step 3: Cross multiply
    13,548.90x = 20,329.74 × 4,787.94
  4. Step 4: Simplify right side
    13,548.90x = 97,337,575.34
  5. Step 5: Solve for x
    x = 97,337,575.34/13,548.90
  6. Step 6: Final answer
    x = 7,184.17

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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.