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Finding the Fourth Proportional to 25,589.96, 35,314.06 and 14,259.94

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Solution

The fourth proportional to 25,589.96, 35,314.06 and 14,259.94 is: 19,678.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.96 : 35,314.06 = 14,259.94 : x
  2. Step 2: Convert to fraction form
    25,589.96/35,314.06 = 14,259.94/x
  3. Step 3: Cross multiply
    25,589.96x = 35,314.06 × 14,259.94
  4. Step 4: Simplify right side
    25,589.96x = 503,576,376.76
  5. Step 5: Solve for x
    x = 503,576,376.76/25,589.96
  6. Step 6: Final answer
    x = 19,678.67

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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.