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Finding the Fourth Proportional to 20,740.32, 31,104 and 9,050.40

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Solution

The fourth proportional to 20,740.32, 31,104 and 9,050.40 is: 13,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,740.32 : 31,104 = 9,050.40 : x
  2. Step 2: Convert to fraction form
    20,740.32/31,104 = 9,050.40/x
  3. Step 3: Cross multiply
    20,740.32x = 31,104 × 9,050.40
  4. Step 4: Simplify right side
    20,740.32x = 281,503,641.60
  5. Step 5: Solve for x
    x = 281,503,641.60/20,740.32
  6. Step 6: Final answer
    x = 13,572.77

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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.