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Finding the Fourth Proportional to 13,818.48, 19,071.71 and 7,852.02

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Solution

The fourth proportional to 13,818.48, 19,071.71 and 7,852.02 is: 10,837.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.48 : 19,071.71 = 7,852.02 : x
  2. Step 2: Convert to fraction form
    13,818.48/19,071.71 = 7,852.02/x
  3. Step 3: Cross multiply
    13,818.48x = 19,071.71 × 7,852.02
  4. Step 4: Simplify right side
    13,818.48x = 149,751,409.09
  5. Step 5: Solve for x
    x = 149,751,409.09/13,818.48
  6. Step 6: Final answer
    x = 10,837.04

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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.