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Finding the Fourth Proportional to 14,632.34, 21,951.76 and 8,055.14

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Solution

The fourth proportional to 14,632.34, 21,951.76 and 8,055.14 is: 12,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.34 : 21,951.76 = 8,055.14 : x
  2. Step 2: Convert to fraction form
    14,632.34/21,951.76 = 8,055.14/x
  3. Step 3: Cross multiply
    14,632.34x = 21,951.76 × 8,055.14
  4. Step 4: Simplify right side
    14,632.34x = 176,824,500.05
  5. Step 5: Solve for x
    x = 176,824,500.05/14,632.34
  6. Step 6: Final answer
    x = 12,084.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.