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Finding the Fourth Proportional to 14,366.32, 19,819.24 and 8,774

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Solution

The fourth proportional to 14,366.32, 19,819.24 and 8,774 is: 12,104.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,366.32 : 19,819.24 = 8,774 : x
  2. Step 2: Convert to fraction form
    14,366.32/19,819.24 = 8,774/x
  3. Step 3: Cross multiply
    14,366.32x = 19,819.24 × 8,774
  4. Step 4: Simplify right side
    14,366.32x = 173,894,011.76
  5. Step 5: Solve for x
    x = 173,894,011.76/14,366.32
  6. Step 6: Final answer
    x = 12,104.28

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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.