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Finding the Fourth Proportional to 25,683.86, 38,536.92 and 9,055.77

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Solution

The fourth proportional to 25,683.86, 38,536.92 and 9,055.77 is: 13,587.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.86 : 38,536.92 = 9,055.77 : x
  2. Step 2: Convert to fraction form
    25,683.86/38,536.92 = 9,055.77/x
  3. Step 3: Cross multiply
    25,683.86x = 38,536.92 × 9,055.77
  4. Step 4: Simplify right side
    25,683.86x = 348,981,484.03
  5. Step 5: Solve for x
    x = 348,981,484.03/25,683.86
  6. Step 6: Final answer
    x = 13,587.58

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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.