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Finding the Fourth Proportional to 30,402.64, 45,600.48 and 8,214.70

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Solution

The fourth proportional to 30,402.64, 45,600.48 and 8,214.70 is: 12,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,402.64 : 45,600.48 = 8,214.70 : x
  2. Step 2: Convert to fraction form
    30,402.64/45,600.48 = 8,214.70/x
  3. Step 3: Cross multiply
    30,402.64x = 45,600.48 × 8,214.70
  4. Step 4: Simplify right side
    30,402.64x = 374,594,263.06
  5. Step 5: Solve for x
    x = 374,594,263.06/30,402.64
  6. Step 6: Final answer
    x = 12,321.11

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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.