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Finding the Fourth Proportional to 28,577.65, 42,894.12 and 13,796.95

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Solution

The fourth proportional to 28,577.65, 42,894.12 and 13,796.95 is: 20,708.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577.65 : 42,894.12 = 13,796.95 : x
  2. Step 2: Convert to fraction form
    28,577.65/42,894.12 = 13,796.95/x
  3. Step 3: Cross multiply
    28,577.65x = 42,894.12 × 13,796.95
  4. Step 4: Simplify right side
    28,577.65x = 591,808,028.93
  5. Step 5: Solve for x
    x = 591,808,028.93/28,577.65
  6. Step 6: Final answer
    x = 20,708.77

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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.