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Finding the Fourth Proportional to 13,858.54, 19,124.26 and 7,570.92

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Solution

The fourth proportional to 13,858.54, 19,124.26 and 7,570.92 is: 10,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.54 : 19,124.26 = 7,570.92 : x
  2. Step 2: Convert to fraction form
    13,858.54/19,124.26 = 7,570.92/x
  3. Step 3: Cross multiply
    13,858.54x = 19,124.26 × 7,570.92
  4. Step 4: Simplify right side
    13,858.54x = 144,788,242.52
  5. Step 5: Solve for x
    x = 144,788,242.52/13,858.54
  6. Step 6: Final answer
    x = 10,447.58

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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.