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Finding the Fourth Proportional to 18,714.24, 25,825.77 and 10,330.74

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Solution

The fourth proportional to 18,714.24, 25,825.77 and 10,330.74 is: 14,256.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,714.24 : 25,825.77 = 10,330.74 : x
  2. Step 2: Convert to fraction form
    18,714.24/25,825.77 = 10,330.74/x
  3. Step 3: Cross multiply
    18,714.24x = 25,825.77 × 10,330.74
  4. Step 4: Simplify right side
    18,714.24x = 266,799,315.17
  5. Step 5: Solve for x
    x = 266,799,315.17/18,714.24
  6. Step 6: Final answer
    x = 14,256.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.