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Finding the Fourth Proportional to 14,254.42, 21,385.95 and 6,856.78

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Solution

The fourth proportional to 14,254.42, 21,385.95 and 6,856.78 is: 10,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.42 : 21,385.95 = 6,856.78 : x
  2. Step 2: Convert to fraction form
    14,254.42/21,385.95 = 6,856.78/x
  3. Step 3: Cross multiply
    14,254.42x = 21,385.95 × 6,856.78
  4. Step 4: Simplify right side
    14,254.42x = 146,638,754.24
  5. Step 5: Solve for x
    x = 146,638,754.24/14,254.42
  6. Step 6: Final answer
    x = 10,287.25

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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.