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Finding the Fourth Proportional to 14,215.59, 21,312.84 and 6,813

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Solution

The fourth proportional to 14,215.59, 21,312.84 and 6,813 is: 10,214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.59 : 21,312.84 = 6,813 : x
  2. Step 2: Convert to fraction form
    14,215.59/21,312.84 = 6,813/x
  3. Step 3: Cross multiply
    14,215.59x = 21,312.84 × 6,813
  4. Step 4: Simplify right side
    14,215.59x = 145,204,378.92
  5. Step 5: Solve for x
    x = 145,204,378.92/14,215.59
  6. Step 6: Final answer
    x = 10,214.45

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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.