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Finding the Fourth Proportional to 14,876.49, 20,529.54 and 8,162.16

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Solution

The fourth proportional to 14,876.49, 20,529.54 and 8,162.16 is: 11,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.49 : 20,529.54 = 8,162.16 : x
  2. Step 2: Convert to fraction form
    14,876.49/20,529.54 = 8,162.16/x
  3. Step 3: Cross multiply
    14,876.49x = 20,529.54 × 8,162.16
  4. Step 4: Simplify right side
    14,876.49x = 167,565,390.21
  5. Step 5: Solve for x
    x = 167,565,390.21/14,876.49
  6. Step 6: Final answer
    x = 11,263.77

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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.