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Finding the Fourth Proportional to 14,101.46, 21,152.82 and 7,856.75

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Solution

The fourth proportional to 14,101.46, 21,152.82 and 7,856.75 is: 11,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.46 : 21,152.82 = 7,856.75 : x
  2. Step 2: Convert to fraction form
    14,101.46/21,152.82 = 7,856.75/x
  3. Step 3: Cross multiply
    14,101.46x = 21,152.82 × 7,856.75
  4. Step 4: Simplify right side
    14,101.46x = 166,192,312.77
  5. Step 5: Solve for x
    x = 166,192,312.77/14,101.46
  6. Step 6: Final answer
    x = 11,785.47

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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.