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Finding the Fourth Proportional to 14,274.98, 19,698.09 and 8,307.44

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Solution

The fourth proportional to 14,274.98, 19,698.09 and 8,307.44 is: 11,463.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.98 : 19,698.09 = 8,307.44 : x
  2. Step 2: Convert to fraction form
    14,274.98/19,698.09 = 8,307.44/x
  3. Step 3: Cross multiply
    14,274.98x = 19,698.09 × 8,307.44
  4. Step 4: Simplify right side
    14,274.98x = 163,640,700.79
  5. Step 5: Solve for x
    x = 163,640,700.79/14,274.98
  6. Step 6: Final answer
    x = 11,463.46

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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.