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Finding the Fourth Proportional to 23,689.10, 32,690.75 and 13,078.50

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Solution

The fourth proportional to 23,689.10, 32,690.75 and 13,078.50 is: 18,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,689.10 : 32,690.75 = 13,078.50 : x
  2. Step 2: Convert to fraction form
    23,689.10/32,690.75 = 13,078.50/x
  3. Step 3: Cross multiply
    23,689.10x = 32,690.75 × 13,078.50
  4. Step 4: Simplify right side
    23,689.10x = 427,545,973.88
  5. Step 5: Solve for x
    x = 427,545,973.88/23,689.10
  6. Step 6: Final answer
    x = 18,048.22

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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.