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Finding the Fourth Proportional to 14,139.66, 19,511.95 and 7,851.63

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Solution

The fourth proportional to 14,139.66, 19,511.95 and 7,851.63 is: 10,834.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,139.66 : 19,511.95 = 7,851.63 : x
  2. Step 2: Convert to fraction form
    14,139.66/19,511.95 = 7,851.63/x
  3. Step 3: Cross multiply
    14,139.66x = 19,511.95 × 7,851.63
  4. Step 4: Simplify right side
    14,139.66x = 153,200,611.98
  5. Step 5: Solve for x
    x = 153,200,611.98/14,139.66
  6. Step 6: Final answer
    x = 10,834.82

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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.