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Finding the Fourth Proportional to 14,115.84, 19,480.16 and 7,828

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Solution

The fourth proportional to 14,115.84, 19,480.16 and 7,828 is: 10,802.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.84 : 19,480.16 = 7,828 : x
  2. Step 2: Convert to fraction form
    14,115.84/19,480.16 = 7,828/x
  3. Step 3: Cross multiply
    14,115.84x = 19,480.16 × 7,828
  4. Step 4: Simplify right side
    14,115.84x = 152,490,692.48
  5. Step 5: Solve for x
    x = 152,490,692.48/14,115.84
  6. Step 6: Final answer
    x = 10,802.81

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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.