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Finding the Fourth Proportional to 25,769.64, 35,563.80 and 14,438.52

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Solution

The fourth proportional to 25,769.64, 35,563.80 and 14,438.52 is: 19,926.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,769.64 : 35,563.80 = 14,438.52 : x
  2. Step 2: Convert to fraction form
    25,769.64/35,563.80 = 14,438.52/x
  3. Step 3: Cross multiply
    25,769.64x = 35,563.80 × 14,438.52
  4. Step 4: Simplify right side
    25,769.64x = 513,488,637.58
  5. Step 5: Solve for x
    x = 513,488,637.58/25,769.64
  6. Step 6: Final answer
    x = 19,926.11

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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.