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Finding the Fourth Proportional to 28,655.74, 42,976.32 and 11,116

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Solution

The fourth proportional to 28,655.74, 42,976.32 and 11,116 is: 16,671.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,655.74 : 42,976.32 = 11,116 : x
  2. Step 2: Convert to fraction form
    28,655.74/42,976.32 = 11,116/x
  3. Step 3: Cross multiply
    28,655.74x = 42,976.32 × 11,116
  4. Step 4: Simplify right side
    28,655.74x = 477,724,773.12
  5. Step 5: Solve for x
    x = 477,724,773.12/28,655.74
  6. Step 6: Final answer
    x = 16,671.17

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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.