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Finding the Fourth Proportional to 23,582.70, 35,314.89 and 14,089.16

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Solution

The fourth proportional to 23,582.70, 35,314.89 and 14,089.16 is: 21,098.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.70 : 35,314.89 = 14,089.16 : x
  2. Step 2: Convert to fraction form
    23,582.70/35,314.89 = 14,089.16/x
  3. Step 3: Cross multiply
    23,582.70x = 35,314.89 × 14,089.16
  4. Step 4: Simplify right side
    23,582.70x = 497,557,135.59
  5. Step 5: Solve for x
    x = 497,557,135.59/23,582.70
  6. Step 6: Final answer
    x = 21,098.40

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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.