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Finding the Fourth Proportional to 14,294.77, 19,728.63 and 8,632.71

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Solution

The fourth proportional to 14,294.77, 19,728.63 and 8,632.71 is: 11,914.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,294.77 : 19,728.63 = 8,632.71 : x
  2. Step 2: Convert to fraction form
    14,294.77/19,728.63 = 8,632.71/x
  3. Step 3: Cross multiply
    14,294.77x = 19,728.63 × 8,632.71
  4. Step 4: Simplify right side
    14,294.77x = 170,311,541.49
  5. Step 5: Solve for x
    x = 170,311,541.49/14,294.77
  6. Step 6: Final answer
    x = 11,914.26

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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.