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Finding the Fourth Proportional to 25,349.74, 34,982 and 14,019.86

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Solution

The fourth proportional to 25,349.74, 34,982 and 14,019.86 is: 19,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.74 : 34,982 = 14,019.86 : x
  2. Step 2: Convert to fraction form
    25,349.74/34,982 = 14,019.86/x
  3. Step 3: Cross multiply
    25,349.74x = 34,982 × 14,019.86
  4. Step 4: Simplify right side
    25,349.74x = 490,442,742.52
  5. Step 5: Solve for x
    x = 490,442,742.52/25,349.74
  6. Step 6: Final answer
    x = 19,347.05

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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.