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Finding the Fourth Proportional to 19,714.35, 29,582.87 and 10,948.53

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Solution

The fourth proportional to 19,714.35, 29,582.87 and 10,948.53 is: 16,429.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,714.35 : 29,582.87 = 10,948.53 : x
  2. Step 2: Convert to fraction form
    19,714.35/29,582.87 = 10,948.53/x
  3. Step 3: Cross multiply
    19,714.35x = 29,582.87 × 10,948.53
  4. Step 4: Simplify right side
    19,714.35x = 323,888,884.94
  5. Step 5: Solve for x
    x = 323,888,884.94/19,714.35
  6. Step 6: Final answer
    x = 16,429.09

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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.