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Finding the Fourth Proportional to 12,358.35, 18,543.60 and 5,783.40

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Solution

The fourth proportional to 12,358.35, 18,543.60 and 5,783.40 is: 8,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.35 : 18,543.60 = 5,783.40 : x
  2. Step 2: Convert to fraction form
    12,358.35/18,543.60 = 5,783.40/x
  3. Step 3: Cross multiply
    12,358.35x = 18,543.60 × 5,783.40
  4. Step 4: Simplify right side
    12,358.35x = 107,245,056.24
  5. Step 5: Solve for x
    x = 107,245,056.24/12,358.35
  6. Step 6: Final answer
    x = 8,677.94

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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.