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Finding the Fourth Proportional to 25,107.95, 34,647.80 and 13,777.16

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Solution

The fourth proportional to 25,107.95, 34,647.80 and 13,777.16 is: 19,011.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.95 : 34,647.80 = 13,777.16 : x
  2. Step 2: Convert to fraction form
    25,107.95/34,647.80 = 13,777.16/x
  3. Step 3: Cross multiply
    25,107.95x = 34,647.80 × 13,777.16
  4. Step 4: Simplify right side
    25,107.95x = 477,348,145.45
  5. Step 5: Solve for x
    x = 477,348,145.45/25,107.95
  6. Step 6: Final answer
    x = 19,011.84

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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.