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Finding the Fourth Proportional to 25,204.32, 34,782 and 14,026.08

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Solution

The fourth proportional to 25,204.32, 34,782 and 14,026.08 is: 19,356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,204.32 : 34,782 = 14,026.08 : x
  2. Step 2: Convert to fraction form
    25,204.32/34,782 = 14,026.08/x
  3. Step 3: Cross multiply
    25,204.32x = 34,782 × 14,026.08
  4. Step 4: Simplify right side
    25,204.32x = 487,855,114.56
  5. Step 5: Solve for x
    x = 487,855,114.56/25,204.32
  6. Step 6: Final answer
    x = 19,356.01

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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.