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Finding the Fourth Proportional to 22,563.61, 31,138.05 and 12,492.97

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Solution

The fourth proportional to 22,563.61, 31,138.05 and 12,492.97 is: 17,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.61 : 31,138.05 = 12,492.97 : x
  2. Step 2: Convert to fraction form
    22,563.61/31,138.05 = 12,492.97/x
  3. Step 3: Cross multiply
    22,563.61x = 31,138.05 × 12,492.97
  4. Step 4: Simplify right side
    22,563.61x = 389,006,724.51
  5. Step 5: Solve for x
    x = 389,006,724.51/22,563.61
  6. Step 6: Final answer
    x = 17,240.45

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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.