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Finding the Fourth Proportional to 14,254.35, 19,670.58 and 7,966.71

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Solution

The fourth proportional to 14,254.35, 19,670.58 and 7,966.71 is: 10,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.35 : 19,670.58 = 7,966.71 : x
  2. Step 2: Convert to fraction form
    14,254.35/19,670.58 = 7,966.71/x
  3. Step 3: Cross multiply
    14,254.35x = 19,670.58 × 7,966.71
  4. Step 4: Simplify right side
    14,254.35x = 156,709,806.39
  5. Step 5: Solve for x
    x = 156,709,806.39/14,254.35
  6. Step 6: Final answer
    x = 10,993.82

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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.