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Finding the Fourth Proportional to 25,590.76, 38,392 and 7,823.08

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Solution

The fourth proportional to 25,590.76, 38,392 and 7,823.08 is: 11,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,590.76 : 38,392 = 7,823.08 : x
  2. Step 2: Convert to fraction form
    25,590.76/38,392 = 7,823.08/x
  3. Step 3: Cross multiply
    25,590.76x = 38,392 × 7,823.08
  4. Step 4: Simplify right side
    25,590.76x = 300,343,687.36
  5. Step 5: Solve for x
    x = 300,343,687.36/25,590.76
  6. Step 6: Final answer
    x = 11,736.41

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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.