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Finding the Fourth Proportional to 14,084.35, 21,126.28 and 5,653

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Solution

The fourth proportional to 14,084.35, 21,126.28 and 5,653 is: 8,479.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.35 : 21,126.28 = 5,653 : x
  2. Step 2: Convert to fraction form
    14,084.35/21,126.28 = 5,653/x
  3. Step 3: Cross multiply
    14,084.35x = 21,126.28 × 5,653
  4. Step 4: Simplify right side
    14,084.35x = 119,426,832.58
  5. Step 5: Solve for x
    x = 119,426,832.58/14,084.35
  6. Step 6: Final answer
    x = 8,479.40

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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.