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Finding the Fourth Proportional to 25,809.63, 38,714.44 and 7,341.63

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Solution

The fourth proportional to 25,809.63, 38,714.44 and 7,341.63 is: 11,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,809.63 : 38,714.44 = 7,341.63 : x
  2. Step 2: Convert to fraction form
    25,809.63/38,714.44 = 7,341.63/x
  3. Step 3: Cross multiply
    25,809.63x = 38,714.44 × 7,341.63
  4. Step 4: Simplify right side
    25,809.63x = 284,227,094.14
  5. Step 5: Solve for x
    x = 284,227,094.14/25,809.63
  6. Step 6: Final answer
    x = 11,012.44

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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.