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Finding the Fourth Proportional to 30,013.12, 45,018.54 and 7,826.68

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Solution

The fourth proportional to 30,013.12, 45,018.54 and 7,826.68 is: 11,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,013.12 : 45,018.54 = 7,826.68 : x
  2. Step 2: Convert to fraction form
    30,013.12/45,018.54 = 7,826.68/x
  3. Step 3: Cross multiply
    30,013.12x = 45,018.54 × 7,826.68
  4. Step 4: Simplify right side
    30,013.12x = 352,345,706.65
  5. Step 5: Solve for x
    x = 352,345,706.65/30,013.12
  6. Step 6: Final answer
    x = 11,739.72

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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.