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Finding the Fourth Proportional to 23,582.69, 35,374.04 and 16,164.66

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Solution

The fourth proportional to 23,582.69, 35,374.04 and 16,164.66 is: 24,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582.69 : 35,374.04 = 16,164.66 : x
  2. Step 2: Convert to fraction form
    23,582.69/35,374.04 = 16,164.66/x
  3. Step 3: Cross multiply
    23,582.69x = 35,374.04 × 16,164.66
  4. Step 4: Simplify right side
    23,582.69x = 571,809,487.34
  5. Step 5: Solve for x
    x = 571,809,487.34/23,582.69
  6. Step 6: Final answer
    x = 24,247.00

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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.