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Finding the Fourth Proportional to 14,283.90, 19,707.01 and 8,314.30

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Solution

The fourth proportional to 14,283.90, 19,707.01 and 8,314.30 is: 11,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.90 : 19,707.01 = 8,314.30 : x
  2. Step 2: Convert to fraction form
    14,283.90/19,707.01 = 8,314.30/x
  3. Step 3: Cross multiply
    14,283.90x = 19,707.01 × 8,314.30
  4. Step 4: Simplify right side
    14,283.90x = 163,849,997.09
  5. Step 5: Solve for x
    x = 163,849,997.09/14,283.90
  6. Step 6: Final answer
    x = 11,470.96

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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.