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Finding the Fourth Proportional to 25,189.77, 34,762.17 and 14,434.43

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Solution

The fourth proportional to 25,189.77, 34,762.17 and 14,434.43 is: 19,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,189.77 : 34,762.17 = 14,434.43 : x
  2. Step 2: Convert to fraction form
    25,189.77/34,762.17 = 14,434.43/x
  3. Step 3: Cross multiply
    25,189.77x = 34,762.17 × 14,434.43
  4. Step 4: Simplify right side
    25,189.77x = 501,772,109.51
  5. Step 5: Solve for x
    x = 501,772,109.51/25,189.77
  6. Step 6: Final answer
    x = 19,919.68

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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.