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Finding the Fourth Proportional to 14,070.36, 19,415.64 and 8,100.84

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Solution

The fourth proportional to 14,070.36, 19,415.64 and 8,100.84 is: 11,178.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.36 : 19,415.64 = 8,100.84 : x
  2. Step 2: Convert to fraction form
    14,070.36/19,415.64 = 8,100.84/x
  3. Step 3: Cross multiply
    14,070.36x = 19,415.64 × 8,100.84
  4. Step 4: Simplify right side
    14,070.36x = 157,282,993.14
  5. Step 5: Solve for x
    x = 157,282,993.14/14,070.36
  6. Step 6: Final answer
    x = 11,178.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.