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Finding the Fourth Proportional to 25,145.19, 34,700.67 and 14,535

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Solution

The fourth proportional to 25,145.19, 34,700.67 and 14,535 is: 20,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145.19 : 34,700.67 = 14,535 : x
  2. Step 2: Convert to fraction form
    25,145.19/34,700.67 = 14,535/x
  3. Step 3: Cross multiply
    25,145.19x = 34,700.67 × 14,535
  4. Step 4: Simplify right side
    25,145.19x = 504,374,238.45
  5. Step 5: Solve for x
    x = 504,374,238.45/25,145.19
  6. Step 6: Final answer
    x = 20,058.48

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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.