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Finding the Fourth Proportional to 23,698.74, 32,714.70 and 14,141.94

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Solution

The fourth proportional to 23,698.74, 32,714.70 and 14,141.94 is: 19,522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.74 : 32,714.70 = 14,141.94 : x
  2. Step 2: Convert to fraction form
    23,698.74/32,714.70 = 14,141.94/x
  3. Step 3: Cross multiply
    23,698.74x = 32,714.70 × 14,141.94
  4. Step 4: Simplify right side
    23,698.74x = 462,649,324.52
  5. Step 5: Solve for x
    x = 462,649,324.52/23,698.74
  6. Step 6: Final answer
    x = 19,522.11

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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.