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Finding the Fourth Proportional to 25,683.32, 38,523.36 and 9,044.84

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Solution

The fourth proportional to 25,683.32, 38,523.36 and 9,044.84 is: 13,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,683.32 : 38,523.36 = 9,044.84 : x
  2. Step 2: Convert to fraction form
    25,683.32/38,523.36 = 9,044.84/x
  3. Step 3: Cross multiply
    25,683.32x = 38,523.36 × 9,044.84
  4. Step 4: Simplify right side
    25,683.32x = 348,437,627.46
  5. Step 5: Solve for x
    x = 348,437,627.46/25,683.32
  6. Step 6: Final answer
    x = 13,566.69

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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.