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Finding the Fourth Proportional to 22,291.28, 30,762.30 and 13,339.16

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Solution

The fourth proportional to 22,291.28, 30,762.30 and 13,339.16 is: 18,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,291.28 : 30,762.30 = 13,339.16 : x
  2. Step 2: Convert to fraction form
    22,291.28/30,762.30 = 13,339.16/x
  3. Step 3: Cross multiply
    22,291.28x = 30,762.30 × 13,339.16
  4. Step 4: Simplify right side
    22,291.28x = 410,343,241.67
  5. Step 5: Solve for x
    x = 410,343,241.67/22,291.28
  6. Step 6: Final answer
    x = 18,408.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.