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Finding the Fourth Proportional to 25,901.80, 35,744.10 and 14,570.44

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Solution

The fourth proportional to 25,901.80, 35,744.10 and 14,570.44 is: 20,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.80 : 35,744.10 = 14,570.44 : x
  2. Step 2: Convert to fraction form
    25,901.80/35,744.10 = 14,570.44/x
  3. Step 3: Cross multiply
    25,901.80x = 35,744.10 × 14,570.44
  4. Step 4: Simplify right side
    25,901.80x = 520,807,264.40
  5. Step 5: Solve for x
    x = 520,807,264.40/25,901.80
  6. Step 6: Final answer
    x = 20,106.99

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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.