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Finding the Fourth Proportional to 13,858.59, 19,124.86 and 7,570.97

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Solution

The fourth proportional to 13,858.59, 19,124.86 and 7,570.97 is: 10,447.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.59 : 19,124.86 = 7,570.97 : x
  2. Step 2: Convert to fraction form
    13,858.59/19,124.86 = 7,570.97/x
  3. Step 3: Cross multiply
    13,858.59x = 19,124.86 × 7,570.97
  4. Step 4: Simplify right side
    13,858.59x = 144,793,712.68
  5. Step 5: Solve for x
    x = 144,793,712.68/13,858.59
  6. Step 6: Final answer
    x = 10,447.94

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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.