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Finding the Fourth Proportional to 14,070.38, 19,415.43 and 8,103.98

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Solution

The fourth proportional to 14,070.38, 19,415.43 and 8,103.98 is: 11,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.38 : 19,415.43 = 8,103.98 : x
  2. Step 2: Convert to fraction form
    14,070.38/19,415.43 = 8,103.98/x
  3. Step 3: Cross multiply
    14,070.38x = 19,415.43 × 8,103.98
  4. Step 4: Simplify right side
    14,070.38x = 157,342,304.95
  5. Step 5: Solve for x
    x = 157,342,304.95/14,070.38
  6. Step 6: Final answer
    x = 11,182.52

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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.