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Finding the Fourth Proportional to 21,368.52, 29,500.02 and 14,307

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Solution

The fourth proportional to 21,368.52, 29,500.02 and 14,307 is: 19,751.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,368.52 : 29,500.02 = 14,307 : x
  2. Step 2: Convert to fraction form
    21,368.52/29,500.02 = 14,307/x
  3. Step 3: Cross multiply
    21,368.52x = 29,500.02 × 14,307
  4. Step 4: Simplify right side
    21,368.52x = 422,056,786.14
  5. Step 5: Solve for x
    x = 422,056,786.14/21,368.52
  6. Step 6: Final answer
    x = 19,751.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.