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Finding the Fourth Proportional to 13,820.98, 19,070.02 and 8,783.36

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Solution

The fourth proportional to 13,820.98, 19,070.02 and 8,783.36 is: 12,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.98 : 19,070.02 = 8,783.36 : x
  2. Step 2: Convert to fraction form
    13,820.98/19,070.02 = 8,783.36/x
  3. Step 3: Cross multiply
    13,820.98x = 19,070.02 × 8,783.36
  4. Step 4: Simplify right side
    13,820.98x = 167,498,850.87
  5. Step 5: Solve for x
    x = 167,498,850.87/13,820.98
  6. Step 6: Final answer
    x = 12,119.17

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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.