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Finding the Fourth Proportional to 14,302.38, 21,458.97 and 5,988

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Solution

The fourth proportional to 14,302.38, 21,458.97 and 5,988 is: 8,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.38 : 21,458.97 = 5,988 : x
  2. Step 2: Convert to fraction form
    14,302.38/21,458.97 = 5,988/x
  3. Step 3: Cross multiply
    14,302.38x = 21,458.97 × 5,988
  4. Step 4: Simplify right side
    14,302.38x = 128,496,312.36
  5. Step 5: Solve for x
    x = 128,496,312.36/14,302.38
  6. Step 6: Final answer
    x = 8,984.26

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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.