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Finding the Fourth Proportional to 25,536.52, 38,289.14 and 10,538.99

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Solution

The fourth proportional to 25,536.52, 38,289.14 and 10,538.99 is: 15,802.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.52 : 38,289.14 = 10,538.99 : x
  2. Step 2: Convert to fraction form
    25,536.52/38,289.14 = 10,538.99/x
  3. Step 3: Cross multiply
    25,536.52x = 38,289.14 × 10,538.99
  4. Step 4: Simplify right side
    25,536.52x = 403,528,619.43
  5. Step 5: Solve for x
    x = 403,528,619.43/25,536.52
  6. Step 6: Final answer
    x = 15,802.02

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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.