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Finding the Fourth Proportional to 23,685.77, 35,515.59 and 9,642.20

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Solution

The fourth proportional to 23,685.77, 35,515.59 and 9,642.20 is: 14,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.77 : 35,515.59 = 9,642.20 : x
  2. Step 2: Convert to fraction form
    23,685.77/35,515.59 = 9,642.20/x
  3. Step 3: Cross multiply
    23,685.77x = 35,515.59 × 9,642.20
  4. Step 4: Simplify right side
    23,685.77x = 342,448,244.32
  5. Step 5: Solve for x
    x = 342,448,244.32/23,685.77
  6. Step 6: Final answer
    x = 14,457.98

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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.