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Finding the Fourth Proportional to 14,364.72, 19,814.76 and 8,766

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Solution

The fourth proportional to 14,364.72, 19,814.76 and 8,766 is: 12,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.72 : 19,814.76 = 8,766 : x
  2. Step 2: Convert to fraction form
    14,364.72/19,814.76 = 8,766/x
  3. Step 3: Cross multiply
    14,364.72x = 19,814.76 × 8,766
  4. Step 4: Simplify right side
    14,364.72x = 173,696,186.16
  5. Step 5: Solve for x
    x = 173,696,186.16/14,364.72
  6. Step 6: Final answer
    x = 12,091.86

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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.