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Finding the Fourth Proportional to 13,829.12, 19,083.52 and 7,541.12

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Solution

The fourth proportional to 13,829.12, 19,083.52 and 7,541.12 is: 10,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.12 : 19,083.52 = 7,541.12 : x
  2. Step 2: Convert to fraction form
    13,829.12/19,083.52 = 7,541.12/x
  3. Step 3: Cross multiply
    13,829.12x = 19,083.52 × 7,541.12
  4. Step 4: Simplify right side
    13,829.12x = 143,911,114.34
  5. Step 5: Solve for x
    x = 143,911,114.34/13,829.12
  6. Step 6: Final answer
    x = 10,406.38

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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.