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Finding the Fourth Proportional to 13,058.53, 19,596.05 and 6,829.72

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Solution

The fourth proportional to 13,058.53, 19,596.05 and 6,829.72 is: 10,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,058.53 : 19,596.05 = 6,829.72 : x
  2. Step 2: Convert to fraction form
    13,058.53/19,596.05 = 6,829.72/x
  3. Step 3: Cross multiply
    13,058.53x = 19,596.05 × 6,829.72
  4. Step 4: Simplify right side
    13,058.53x = 133,835,534.61
  5. Step 5: Solve for x
    x = 133,835,534.61/13,058.53
  6. Step 6: Final answer
    x = 10,248.90

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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.