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Finding the Fourth Proportional to 14,187.47, 19,578.74 and 7,813.85

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Solution

The fourth proportional to 14,187.47, 19,578.74 and 7,813.85 is: 10,783.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,187.47 : 19,578.74 = 7,813.85 : x
  2. Step 2: Convert to fraction form
    14,187.47/19,578.74 = 7,813.85/x
  3. Step 3: Cross multiply
    14,187.47x = 19,578.74 × 7,813.85
  4. Step 4: Simplify right side
    14,187.47x = 152,985,200.59
  5. Step 5: Solve for x
    x = 152,985,200.59/14,187.47
  6. Step 6: Final answer
    x = 10,783.12

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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.