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Finding the Fourth Proportional to 14,254, 19,670.94 and 7,966.39

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Solution

The fourth proportional to 14,254, 19,670.94 and 7,966.39 is: 10,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254 : 19,670.94 = 7,966.39 : x
  2. Step 2: Convert to fraction form
    14,254/19,670.94 = 7,966.39/x
  3. Step 3: Cross multiply
    14,254x = 19,670.94 × 7,966.39
  4. Step 4: Simplify right side
    14,254x = 156,706,379.71
  5. Step 5: Solve for x
    x = 156,706,379.71/14,254
  6. Step 6: Final answer
    x = 10,993.85

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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.