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Finding the Fourth Proportional to 13,820.12, 19,071.06 and 7,532.44

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Solution

The fourth proportional to 13,820.12, 19,071.06 and 7,532.44 is: 10,394.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.12 : 19,071.06 = 7,532.44 : x
  2. Step 2: Convert to fraction form
    13,820.12/19,071.06 = 7,532.44/x
  3. Step 3: Cross multiply
    13,820.12x = 19,071.06 × 7,532.44
  4. Step 4: Simplify right side
    13,820.12x = 143,651,615.19
  5. Step 5: Solve for x
    x = 143,651,615.19/13,820.12
  6. Step 6: Final answer
    x = 10,394.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.