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Finding the Fourth Proportional to 23,612.83, 32,583 and 13,538.50

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Solution

The fourth proportional to 23,612.83, 32,583 and 13,538.50 is: 18,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,612.83 : 32,583 = 13,538.50 : x
  2. Step 2: Convert to fraction form
    23,612.83/32,583 = 13,538.50/x
  3. Step 3: Cross multiply
    23,612.83x = 32,583 × 13,538.50
  4. Step 4: Simplify right side
    23,612.83x = 441,124,945.50
  5. Step 5: Solve for x
    x = 441,124,945.50/23,612.83
  6. Step 6: Final answer
    x = 18,681.58

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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.