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Finding the Fourth Proportional to 12,035.60, 18,038.34 and 5,793.94

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Solution

The fourth proportional to 12,035.60, 18,038.34 and 5,793.94 is: 8,683.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.60 : 18,038.34 = 5,793.94 : x
  2. Step 2: Convert to fraction form
    12,035.60/18,038.34 = 5,793.94/x
  3. Step 3: Cross multiply
    12,035.60x = 18,038.34 × 5,793.94
  4. Step 4: Simplify right side
    12,035.60x = 104,513,059.66
  5. Step 5: Solve for x
    x = 104,513,059.66/12,035.60
  6. Step 6: Final answer
    x = 8,683.66

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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.