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Finding the Fourth Proportional to 14,314.82, 19,753.20 and 8,347.05

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Solution

The fourth proportional to 14,314.82, 19,753.20 and 8,347.05 is: 11,518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.82 : 19,753.20 = 8,347.05 : x
  2. Step 2: Convert to fraction form
    14,314.82/19,753.20 = 8,347.05/x
  3. Step 3: Cross multiply
    14,314.82x = 19,753.20 × 8,347.05
  4. Step 4: Simplify right side
    14,314.82x = 164,880,948.06
  5. Step 5: Solve for x
    x = 164,880,948.06/14,314.82
  6. Step 6: Final answer
    x = 11,518.20

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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.