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Finding the Fourth Proportional to 14,302.12, 21,449.94 and 5,068.12

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Solution

The fourth proportional to 14,302.12, 21,449.94 and 5,068.12 is: 7,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.12 : 21,449.94 = 5,068.12 : x
  2. Step 2: Convert to fraction form
    14,302.12/21,449.94 = 5,068.12/x
  3. Step 3: Cross multiply
    14,302.12x = 21,449.94 × 5,068.12
  4. Step 4: Simplify right side
    14,302.12x = 108,710,869.91
  5. Step 5: Solve for x
    x = 108,710,869.91/14,302.12
  6. Step 6: Final answer
    x = 7,601.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.