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Finding the Fourth Proportional to 14,749.26, 22,071.90 and 9,205.20

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Solution

The fourth proportional to 14,749.26, 22,071.90 and 9,205.20 is: 13,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,749.26 : 22,071.90 = 9,205.20 : x
  2. Step 2: Convert to fraction form
    14,749.26/22,071.90 = 9,205.20/x
  3. Step 3: Cross multiply
    14,749.26x = 22,071.90 × 9,205.20
  4. Step 4: Simplify right side
    14,749.26x = 203,176,253.88
  5. Step 5: Solve for x
    x = 203,176,253.88/14,749.26
  6. Step 6: Final answer
    x = 13,775.35

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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.