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Finding the Fourth Proportional to 14,213.84, 21,323.16 and 4,352.06

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Solution

The fourth proportional to 14,213.84, 21,323.16 and 4,352.06 is: 6,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.84 : 21,323.16 = 4,352.06 : x
  2. Step 2: Convert to fraction form
    14,213.84/21,323.16 = 4,352.06/x
  3. Step 3: Cross multiply
    14,213.84x = 21,323.16 × 4,352.06
  4. Step 4: Simplify right side
    14,213.84x = 92,799,671.71
  5. Step 5: Solve for x
    x = 92,799,671.71/14,213.84
  6. Step 6: Final answer
    x = 6,528.82

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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.