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Finding the Fourth Proportional to 14,314.71, 19,753.84 and 8,346.63

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Solution

The fourth proportional to 14,314.71, 19,753.84 and 8,346.63 is: 11,518.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.71 : 19,753.84 = 8,346.63 : x
  2. Step 2: Convert to fraction form
    14,314.71/19,753.84 = 8,346.63/x
  3. Step 3: Cross multiply
    14,314.71x = 19,753.84 × 8,346.63
  4. Step 4: Simplify right side
    14,314.71x = 164,877,993.56
  5. Step 5: Solve for x
    x = 164,877,993.56/14,314.71
  6. Step 6: Final answer
    x = 11,518.08

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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.