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Finding the Fourth Proportional to 22,492.79, 31,039.46 and 12,284.10

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Solution

The fourth proportional to 22,492.79, 31,039.46 and 12,284.10 is: 16,951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492.79 : 31,039.46 = 12,284.10 : x
  2. Step 2: Convert to fraction form
    22,492.79/31,039.46 = 12,284.10/x
  3. Step 3: Cross multiply
    22,492.79x = 31,039.46 × 12,284.10
  4. Step 4: Simplify right side
    22,492.79x = 381,291,652.77
  5. Step 5: Solve for x
    x = 381,291,652.77/22,492.79
  6. Step 6: Final answer
    x = 16,951.73

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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.