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Finding the Fourth Proportional to 22,951.32, 31,670.88 and 12,878.40

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Solution

The fourth proportional to 22,951.32, 31,670.88 and 12,878.40 is: 17,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.32 : 31,670.88 = 12,878.40 : x
  2. Step 2: Convert to fraction form
    22,951.32/31,670.88 = 12,878.40/x
  3. Step 3: Cross multiply
    22,951.32x = 31,670.88 × 12,878.40
  4. Step 4: Simplify right side
    22,951.32x = 407,870,260.99
  5. Step 5: Solve for x
    x = 407,870,260.99/22,951.32
  6. Step 6: Final answer
    x = 17,771.10

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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.