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Finding the Fourth Proportional to 23,485.26, 32,419.80 and 14,052

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Solution

The fourth proportional to 23,485.26, 32,419.80 and 14,052 is: 19,397.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.26 : 32,419.80 = 14,052 : x
  2. Step 2: Convert to fraction form
    23,485.26/32,419.80 = 14,052/x
  3. Step 3: Cross multiply
    23,485.26x = 32,419.80 × 14,052
  4. Step 4: Simplify right side
    23,485.26x = 455,563,029.60
  5. Step 5: Solve for x
    x = 455,563,029.60/23,485.26
  6. Step 6: Final answer
    x = 19,397.83

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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.