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Finding the Fourth Proportional to 14,205.38, 21,299.86 and 6,307.88

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Solution

The fourth proportional to 14,205.38, 21,299.86 and 6,307.88 is: 9,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.38 : 21,299.86 = 6,307.88 : x
  2. Step 2: Convert to fraction form
    14,205.38/21,299.86 = 6,307.88/x
  3. Step 3: Cross multiply
    14,205.38x = 21,299.86 × 6,307.88
  4. Step 4: Simplify right side
    14,205.38x = 134,356,862.28
  5. Step 5: Solve for x
    x = 134,356,862.28/14,205.38
  6. Step 6: Final answer
    x = 9,458.17

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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.