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Finding the Fourth Proportional to 13,415.79, 20,119.13 and 4,648.66

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Solution

The fourth proportional to 13,415.79, 20,119.13 and 4,648.66 is: 6,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,415.79 : 20,119.13 = 4,648.66 : x
  2. Step 2: Convert to fraction form
    13,415.79/20,119.13 = 4,648.66/x
  3. Step 3: Cross multiply
    13,415.79x = 20,119.13 × 4,648.66
  4. Step 4: Simplify right side
    13,415.79x = 93,526,994.87
  5. Step 5: Solve for x
    x = 93,526,994.87/13,415.79
  6. Step 6: Final answer
    x = 6,971.41

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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.