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Finding the Fourth Proportional to 23,851.64, 35,776.38 and 16,004.36

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Solution

The fourth proportional to 23,851.64, 35,776.38 and 16,004.36 is: 24,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,851.64 : 35,776.38 = 16,004.36 : x
  2. Step 2: Convert to fraction form
    23,851.64/35,776.38 = 16,004.36/x
  3. Step 3: Cross multiply
    23,851.64x = 35,776.38 × 16,004.36
  4. Step 4: Simplify right side
    23,851.64x = 572,578,065.02
  5. Step 5: Solve for x
    x = 572,578,065.02/23,851.64
  6. Step 6: Final answer
    x = 24,005.82

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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.