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Finding the Fourth Proportional to 20,565.95, 30,852.17 and 7,421.54

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Solution

The fourth proportional to 20,565.95, 30,852.17 and 7,421.54 is: 11,133.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.95 : 30,852.17 = 7,421.54 : x
  2. Step 2: Convert to fraction form
    20,565.95/30,852.17 = 7,421.54/x
  3. Step 3: Cross multiply
    20,565.95x = 30,852.17 × 7,421.54
  4. Step 4: Simplify right side
    20,565.95x = 228,970,576.63
  5. Step 5: Solve for x
    x = 228,970,576.63/20,565.95
  6. Step 6: Final answer
    x = 11,133.48

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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.