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Finding the Fourth Proportional to 23,435.68, 32,342 and 12,826.08

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Solution

The fourth proportional to 23,435.68, 32,342 and 12,826.08 is: 17,700.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,435.68 : 32,342 = 12,826.08 : x
  2. Step 2: Convert to fraction form
    23,435.68/32,342 = 12,826.08/x
  3. Step 3: Cross multiply
    23,435.68x = 32,342 × 12,826.08
  4. Step 4: Simplify right side
    23,435.68x = 414,821,079.36
  5. Step 5: Solve for x
    x = 414,821,079.36/23,435.68
  6. Step 6: Final answer
    x = 17,700.41

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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.