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Finding the Fourth Proportional to 25,403.47, 38,129.81 and 12,265.07

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Solution

The fourth proportional to 25,403.47, 38,129.81 and 12,265.07 is: 18,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,403.47 : 38,129.81 = 12,265.07 : x
  2. Step 2: Convert to fraction form
    25,403.47/38,129.81 = 12,265.07/x
  3. Step 3: Cross multiply
    25,403.47x = 38,129.81 × 12,265.07
  4. Step 4: Simplify right side
    25,403.47x = 467,664,536.76
  5. Step 5: Solve for x
    x = 467,664,536.76/25,403.47
  6. Step 6: Final answer
    x = 18,409.48

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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.