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Finding the Fourth Proportional to 14,141.72, 19,512.06 and 7,852.52

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Solution

The fourth proportional to 14,141.72, 19,512.06 and 7,852.52 is: 10,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.72 : 19,512.06 = 7,852.52 : x
  2. Step 2: Convert to fraction form
    14,141.72/19,512.06 = 7,852.52/x
  3. Step 3: Cross multiply
    14,141.72x = 19,512.06 × 7,852.52
  4. Step 4: Simplify right side
    14,141.72x = 153,218,841.39
  5. Step 5: Solve for x
    x = 153,218,841.39/14,141.72
  6. Step 6: Final answer
    x = 10,834.53

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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.