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Finding the Fourth Proportional to 14,116.49, 19,480.82 and 7,828.86

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Solution

The fourth proportional to 14,116.49, 19,480.82 and 7,828.86 is: 10,803.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,116.49 : 19,480.82 = 7,828.86 : x
  2. Step 2: Convert to fraction form
    14,116.49/19,480.82 = 7,828.86/x
  3. Step 3: Cross multiply
    14,116.49x = 19,480.82 × 7,828.86
  4. Step 4: Simplify right side
    14,116.49x = 152,512,573.32
  5. Step 5: Solve for x
    x = 152,512,573.32/14,116.49
  6. Step 6: Final answer
    x = 10,803.86

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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.