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Finding the Fourth Proportional to 14,247.32, 21,384.76 and 6,856.88

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Solution

The fourth proportional to 14,247.32, 21,384.76 and 6,856.88 is: 10,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,247.32 : 21,384.76 = 6,856.88 : x
  2. Step 2: Convert to fraction form
    14,247.32/21,384.76 = 6,856.88/x
  3. Step 3: Cross multiply
    14,247.32x = 21,384.76 × 6,856.88
  4. Step 4: Simplify right side
    14,247.32x = 146,632,733.15
  5. Step 5: Solve for x
    x = 146,632,733.15/14,247.32
  6. Step 6: Final answer
    x = 10,291.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.