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Finding the Fourth Proportional to 13,222.48, 19,833.78 and 4,457.47

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Solution

The fourth proportional to 13,222.48, 19,833.78 and 4,457.47 is: 6,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.48 : 19,833.78 = 4,457.47 : x
  2. Step 2: Convert to fraction form
    13,222.48/19,833.78 = 4,457.47/x
  3. Step 3: Cross multiply
    13,222.48x = 19,833.78 × 4,457.47
  4. Step 4: Simplify right side
    13,222.48x = 88,408,479.34
  5. Step 5: Solve for x
    x = 88,408,479.34/13,222.48
  6. Step 6: Final answer
    x = 6,686.23

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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.