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Finding the Fourth Proportional to 25,536.49, 38,340.62 and 13,065.46

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Solution

The fourth proportional to 25,536.49, 38,340.62 and 13,065.46 is: 19,616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.49 : 38,340.62 = 13,065.46 : x
  2. Step 2: Convert to fraction form
    25,536.49/38,340.62 = 13,065.46/x
  3. Step 3: Cross multiply
    25,536.49x = 38,340.62 × 13,065.46
  4. Step 4: Simplify right side
    25,536.49x = 500,937,836.99
  5. Step 5: Solve for x
    x = 500,937,836.99/25,536.49
  6. Step 6: Final answer
    x = 19,616.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.