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Finding the Fourth Proportional to 13,058.28, 19,595.67 and 6,829.47

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Solution

The fourth proportional to 13,058.28, 19,595.67 and 6,829.47 is: 10,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.28 : 19,595.67 = 6,829.47 : x
  2. Step 2: Convert to fraction form
    13,058.28/19,595.67 = 6,829.47/x
  3. Step 3: Cross multiply
    13,058.28x = 19,595.67 × 6,829.47
  4. Step 4: Simplify right side
    13,058.28x = 133,828,040.39
  5. Step 5: Solve for x
    x = 133,828,040.39/13,058.28
  6. Step 6: Final answer
    x = 10,248.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.