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Finding the Fourth Proportional to 30,012.66, 45,017.78 and 7,826.22

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Solution

The fourth proportional to 30,012.66, 45,017.78 and 7,826.22 is: 11,739.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,012.66 : 45,017.78 = 7,826.22 : x
  2. Step 2: Convert to fraction form
    30,012.66/45,017.78 = 7,826.22/x
  3. Step 3: Cross multiply
    30,012.66x = 45,017.78 × 7,826.22
  4. Step 4: Simplify right side
    30,012.66x = 352,319,011.06
  5. Step 5: Solve for x
    x = 352,319,011.06/30,012.66
  6. Step 6: Final answer
    x = 11,739.01

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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.