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Finding the Fourth Proportional to 14,082.17, 19,432.06 and 8,415.79

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Solution

The fourth proportional to 14,082.17, 19,432.06 and 8,415.79 is: 11,612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.17 : 19,432.06 = 8,415.79 : x
  2. Step 2: Convert to fraction form
    14,082.17/19,432.06 = 8,415.79/x
  3. Step 3: Cross multiply
    14,082.17x = 19,432.06 × 8,415.79
  4. Step 4: Simplify right side
    14,082.17x = 163,536,018.03
  5. Step 5: Solve for x
    x = 163,536,018.03/14,082.17
  6. Step 6: Final answer
    x = 11,612.99

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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.