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Finding the Fourth Proportional to 12,225.91, 18,347.66 and 5,210.88

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Solution

The fourth proportional to 12,225.91, 18,347.66 and 5,210.88 is: 7,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.91 : 18,347.66 = 5,210.88 : x
  2. Step 2: Convert to fraction form
    12,225.91/18,347.66 = 5,210.88/x
  3. Step 3: Cross multiply
    12,225.91x = 18,347.66 × 5,210.88
  4. Step 4: Simplify right side
    12,225.91x = 95,607,454.54
  5. Step 5: Solve for x
    x = 95,607,454.54/12,225.91
  6. Step 6: Final answer
    x = 7,820.07

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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.