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Finding the Fourth Proportional to 25,783.84, 38,670.18 and 9,144.42

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Solution

The fourth proportional to 25,783.84, 38,670.18 and 9,144.42 is: 13,714.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,783.84 : 38,670.18 = 9,144.42 : x
  2. Step 2: Convert to fraction form
    25,783.84/38,670.18 = 9,144.42/x
  3. Step 3: Cross multiply
    25,783.84x = 38,670.18 × 9,144.42
  4. Step 4: Simplify right side
    25,783.84x = 353,616,367.40
  5. Step 5: Solve for x
    x = 353,616,367.40/25,783.84
  6. Step 6: Final answer
    x = 13,714.65

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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.