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Finding the Fourth Proportional to 25,699.86, 38,564.36 and 10,128.42

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Solution

The fourth proportional to 25,699.86, 38,564.36 and 10,128.42 is: 15,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,699.86 : 38,564.36 = 10,128.42 : x
  2. Step 2: Convert to fraction form
    25,699.86/38,564.36 = 10,128.42/x
  3. Step 3: Cross multiply
    25,699.86x = 38,564.36 × 10,128.42
  4. Step 4: Simplify right side
    25,699.86x = 390,596,035.11
  5. Step 5: Solve for x
    x = 390,596,035.11/25,699.86
  6. Step 6: Final answer
    x = 15,198.37

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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.