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Finding the Fourth Proportional to 20,565.77, 30,807.55 and 9,457.23

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Solution

The fourth proportional to 20,565.77, 30,807.55 and 9,457.23 is: 14,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.77 : 30,807.55 = 9,457.23 : x
  2. Step 2: Convert to fraction form
    20,565.77/30,807.55 = 9,457.23/x
  3. Step 3: Cross multiply
    20,565.77x = 30,807.55 × 9,457.23
  4. Step 4: Simplify right side
    20,565.77x = 291,354,062.44
  5. Step 5: Solve for x
    x = 291,354,062.44/20,565.77
  6. Step 6: Final answer
    x = 14,166.94

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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.