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Finding the Fourth Proportional to 25,589.58, 35,314.68 and 14,259.72

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Solution

The fourth proportional to 25,589.58, 35,314.68 and 14,259.72 is: 19,679.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.58 : 35,314.68 = 14,259.72 : x
  2. Step 2: Convert to fraction form
    25,589.58/35,314.68 = 14,259.72/x
  3. Step 3: Cross multiply
    25,589.58x = 35,314.68 × 14,259.72
  4. Step 4: Simplify right side
    25,589.58x = 503,577,448.69
  5. Step 5: Solve for x
    x = 503,577,448.69/25,589.58
  6. Step 6: Final answer
    x = 19,679.00

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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.