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Finding the Fourth Proportional to 13,463.91, 18,589.32 and 8,430.15

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Solution

The fourth proportional to 13,463.91, 18,589.32 and 8,430.15 is: 11,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.91 : 18,589.32 = 8,430.15 : x
  2. Step 2: Convert to fraction form
    13,463.91/18,589.32 = 8,430.15/x
  3. Step 3: Cross multiply
    13,463.91x = 18,589.32 × 8,430.15
  4. Step 4: Simplify right side
    13,463.91x = 156,710,756.00
  5. Step 5: Solve for x
    x = 156,710,756.00/13,463.91
  6. Step 6: Final answer
    x = 11,639.32

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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.