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Finding the Fourth Proportional to 12,577.76, 17,368.98 and 8,111.96

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Solution

The fourth proportional to 12,577.76, 17,368.98 and 8,111.96 is: 11,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.76 : 17,368.98 = 8,111.96 : x
  2. Step 2: Convert to fraction form
    12,577.76/17,368.98 = 8,111.96/x
  3. Step 3: Cross multiply
    12,577.76x = 17,368.98 × 8,111.96
  4. Step 4: Simplify right side
    12,577.76x = 140,896,471.00
  5. Step 5: Solve for x
    x = 140,896,471.00/12,577.76
  6. Step 6: Final answer
    x = 11,202.03

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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.