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Finding the Fourth Proportional to 14,021.10, 19,348.86 and 7,647.74

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Solution

The fourth proportional to 14,021.10, 19,348.86 and 7,647.74 is: 10,553.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,021.10 : 19,348.86 = 7,647.74 : x
  2. Step 2: Convert to fraction form
    14,021.10/19,348.86 = 7,647.74/x
  3. Step 3: Cross multiply
    14,021.10x = 19,348.86 × 7,647.74
  4. Step 4: Simplify right side
    14,021.10x = 147,975,050.58
  5. Step 5: Solve for x
    x = 147,975,050.58/14,021.10
  6. Step 6: Final answer
    x = 10,553.74

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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.