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Finding the Fourth Proportional to 20,376.64, 30,565.54 and 9,277.60

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Solution

The fourth proportional to 20,376.64, 30,565.54 and 9,277.60 is: 13,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376.64 : 30,565.54 = 9,277.60 : x
  2. Step 2: Convert to fraction form
    20,376.64/30,565.54 = 9,277.60/x
  3. Step 3: Cross multiply
    20,376.64x = 30,565.54 × 9,277.60
  4. Step 4: Simplify right side
    20,376.64x = 283,574,853.90
  5. Step 5: Solve for x
    x = 283,574,853.90/20,376.64
  6. Step 6: Final answer
    x = 13,916.66

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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.