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Finding the Fourth Proportional to 16,380.59, 22,582.31 and 13,852.53

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Solution

The fourth proportional to 16,380.59, 22,582.31 and 13,852.53 is: 19,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.59 : 22,582.31 = 13,852.53 : x
  2. Step 2: Convert to fraction form
    16,380.59/22,582.31 = 13,852.53/x
  3. Step 3: Cross multiply
    16,380.59x = 22,582.31 × 13,852.53
  4. Step 4: Simplify right side
    16,380.59x = 312,822,057.48
  5. Step 5: Solve for x
    x = 312,822,057.48/16,380.59
  6. Step 6: Final answer
    x = 19,097.12

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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.