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Finding the Fourth Proportional to 14,134.92, 21,178.08 and 9,967.47

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Solution

The fourth proportional to 14,134.92, 21,178.08 and 9,967.47 is: 14,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134.92 : 21,178.08 = 9,967.47 : x
  2. Step 2: Convert to fraction form
    14,134.92/21,178.08 = 9,967.47/x
  3. Step 3: Cross multiply
    14,134.92x = 21,178.08 × 9,967.47
  4. Step 4: Simplify right side
    14,134.92x = 211,091,877.06
  5. Step 5: Solve for x
    x = 211,091,877.06/14,134.92
  6. Step 6: Final answer
    x = 14,934.07

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