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Finding the Fourth Proportional to 25,494.34, 35,182.65 and 14,316.74

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Solution

The fourth proportional to 25,494.34, 35,182.65 and 14,316.74 is: 19,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.34 : 35,182.65 = 14,316.74 : x
  2. Step 2: Convert to fraction form
    25,494.34/35,182.65 = 14,316.74/x
  3. Step 3: Cross multiply
    25,494.34x = 35,182.65 × 14,316.74
  4. Step 4: Simplify right side
    25,494.34x = 503,700,852.56
  5. Step 5: Solve for x
    x = 503,700,852.56/25,494.34
  6. Step 6: Final answer
    x = 19,757.36

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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.