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Finding the Fourth Proportional to 13,459.13, 20,166.48 and 7,820.98

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Solution

The fourth proportional to 13,459.13, 20,166.48 and 7,820.98 is: 11,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.13 : 20,166.48 = 7,820.98 : x
  2. Step 2: Convert to fraction form
    13,459.13/20,166.48 = 7,820.98/x
  3. Step 3: Cross multiply
    13,459.13x = 20,166.48 × 7,820.98
  4. Step 4: Simplify right side
    13,459.13x = 157,721,577.85
  5. Step 5: Solve for x
    x = 157,721,577.85/13,459.13
  6. Step 6: Final answer
    x = 11,718.55

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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.