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Finding the Fourth Proportional to 25,182.94, 34,752.70 and 13,697.96

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Solution

The fourth proportional to 25,182.94, 34,752.70 and 13,697.96 is: 18,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.94 : 34,752.70 = 13,697.96 : x
  2. Step 2: Convert to fraction form
    25,182.94/34,752.70 = 13,697.96/x
  3. Step 3: Cross multiply
    25,182.94x = 34,752.70 × 13,697.96
  4. Step 4: Simplify right side
    25,182.94x = 476,041,094.49
  5. Step 5: Solve for x
    x = 476,041,094.49/25,182.94
  6. Step 6: Final answer
    x = 18,903.32

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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.