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Finding the Fourth Proportional to 14,565.67, 20,106.92 and 9,192.94

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Solution

The fourth proportional to 14,565.67, 20,106.92 and 9,192.94 is: 12,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.67 : 20,106.92 = 9,192.94 : x
  2. Step 2: Convert to fraction form
    14,565.67/20,106.92 = 9,192.94/x
  3. Step 3: Cross multiply
    14,565.67x = 20,106.92 × 9,192.94
  4. Step 4: Simplify right side
    14,565.67x = 184,841,709.14
  5. Step 5: Solve for x
    x = 184,841,709.14/14,565.67
  6. Step 6: Final answer
    x = 12,690.23

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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.