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Finding the Fourth Proportional to 13,858.31, 19,124.48 and 7,570.69

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Solution

The fourth proportional to 13,858.31, 19,124.48 and 7,570.69 is: 10,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.31 : 19,124.48 = 7,570.69 : x
  2. Step 2: Convert to fraction form
    13,858.31/19,124.48 = 7,570.69/x
  3. Step 3: Cross multiply
    13,858.31x = 19,124.48 × 7,570.69
  4. Step 4: Simplify right side
    13,858.31x = 144,785,480.61
  5. Step 5: Solve for x
    x = 144,785,480.61/13,858.31
  6. Step 6: Final answer
    x = 10,447.55

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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.