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Finding the Fourth Proportional to 14,222.94, 19,623.06 and 7,934.10

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Solution

The fourth proportional to 14,222.94, 19,623.06 and 7,934.10 is: 10,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.94 : 19,623.06 = 7,934.10 : x
  2. Step 2: Convert to fraction form
    14,222.94/19,623.06 = 7,934.10/x
  3. Step 3: Cross multiply
    14,222.94x = 19,623.06 × 7,934.10
  4. Step 4: Simplify right side
    14,222.94x = 155,691,320.35
  5. Step 5: Solve for x
    x = 155,691,320.35/14,222.94
  6. Step 6: Final answer
    x = 10,946.49

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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.