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Finding the Fourth Proportional to 22,307.42, 30,779.19 and 15,138.32

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Solution

The fourth proportional to 22,307.42, 30,779.19 and 15,138.32 is: 20,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,307.42 : 30,779.19 = 15,138.32 : x
  2. Step 2: Convert to fraction form
    22,307.42/30,779.19 = 15,138.32/x
  3. Step 3: Cross multiply
    22,307.42x = 30,779.19 × 15,138.32
  4. Step 4: Simplify right side
    22,307.42x = 465,945,073.66
  5. Step 5: Solve for x
    x = 465,945,073.66/22,307.42
  6. Step 6: Final answer
    x = 20,887.45

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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.