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Finding the Fourth Proportional to 30,612.65, 45,918.97 and 9,837.77

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Solution

The fourth proportional to 30,612.65, 45,918.97 and 9,837.77 is: 14,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,612.65 : 45,918.97 = 9,837.77 : x
  2. Step 2: Convert to fraction form
    30,612.65/45,918.97 = 9,837.77/x
  3. Step 3: Cross multiply
    30,612.65x = 45,918.97 × 9,837.77
  4. Step 4: Simplify right side
    30,612.65x = 451,740,011.31
  5. Step 5: Solve for x
    x = 451,740,011.31/30,612.65
  6. Step 6: Final answer
    x = 14,756.65

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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.