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Finding the Fourth Proportional to 22,855.16, 31,540.65 and 12,783.17

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Solution

The fourth proportional to 22,855.16, 31,540.65 and 12,783.17 is: 17,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,855.16 : 31,540.65 = 12,783.17 : x
  2. Step 2: Convert to fraction form
    22,855.16/31,540.65 = 12,783.17/x
  3. Step 3: Cross multiply
    22,855.16x = 31,540.65 × 12,783.17
  4. Step 4: Simplify right side
    22,855.16x = 403,189,490.86
  5. Step 5: Solve for x
    x = 403,189,490.86/22,855.16
  6. Step 6: Final answer
    x = 17,641.07

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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.