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Finding the Fourth Proportional to 12,701.38, 19,042.84 and 5,307.95

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Solution

The fourth proportional to 12,701.38, 19,042.84 and 5,307.95 is: 7,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.38 : 19,042.84 = 5,307.95 : x
  2. Step 2: Convert to fraction form
    12,701.38/19,042.84 = 5,307.95/x
  3. Step 3: Cross multiply
    12,701.38x = 19,042.84 × 5,307.95
  4. Step 4: Simplify right side
    12,701.38x = 101,078,490.19
  5. Step 5: Solve for x
    x = 101,078,490.19/12,701.38
  6. Step 6: Final answer
    x = 7,958.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.