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Finding the Fourth Proportional to 14,128.52, 19,498.02 and 7,841

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Solution

The fourth proportional to 14,128.52, 19,498.02 and 7,841 is: 10,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,128.52 : 19,498.02 = 7,841 : x
  2. Step 2: Convert to fraction form
    14,128.52/19,498.02 = 7,841/x
  3. Step 3: Cross multiply
    14,128.52x = 19,498.02 × 7,841
  4. Step 4: Simplify right side
    14,128.52x = 152,883,974.82
  5. Step 5: Solve for x
    x = 152,883,974.82/14,128.52
  6. Step 6: Final answer
    x = 10,820.95

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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.