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Finding the Fourth Proportional to 30,876.15, 46,318.14 and 9,808.67

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Solution

The fourth proportional to 30,876.15, 46,318.14 and 9,808.67 is: 14,714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.15 : 46,318.14 = 9,808.67 : x
  2. Step 2: Convert to fraction form
    30,876.15/46,318.14 = 9,808.67/x
  3. Step 3: Cross multiply
    30,876.15x = 46,318.14 × 9,808.67
  4. Step 4: Simplify right side
    30,876.15x = 454,319,350.27
  5. Step 5: Solve for x
    x = 454,319,350.27/30,876.15
  6. Step 6: Final answer
    x = 14,714.25

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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.