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Finding the Fourth Proportional to 14,274.97, 19,697.74 and 8,307.70

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Solution

The fourth proportional to 14,274.97, 19,697.74 and 8,307.70 is: 11,463.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.97 : 19,697.74 = 8,307.70 : x
  2. Step 2: Convert to fraction form
    14,274.97/19,697.74 = 8,307.70/x
  3. Step 3: Cross multiply
    14,274.97x = 19,697.74 × 8,307.70
  4. Step 4: Simplify right side
    14,274.97x = 163,642,844.58
  5. Step 5: Solve for x
    x = 163,642,844.58/14,274.97
  6. Step 6: Final answer
    x = 11,463.62

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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.