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Finding the Fourth Proportional to 21,000.45, 31,512.83 and 7,854.15

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Solution

The fourth proportional to 21,000.45, 31,512.83 and 7,854.15 is: 11,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.45 : 31,512.83 = 7,854.15 : x
  2. Step 2: Convert to fraction form
    21,000.45/31,512.83 = 7,854.15/x
  3. Step 3: Cross multiply
    21,000.45x = 31,512.83 × 7,854.15
  4. Step 4: Simplify right side
    21,000.45x = 247,506,454.47
  5. Step 5: Solve for x
    x = 247,506,454.47/21,000.45
  6. Step 6: Final answer
    x = 11,785.77

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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.