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Finding the Fourth Proportional to 23,686.30, 32,686.68 and 13,075.66

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Solution

The fourth proportional to 23,686.30, 32,686.68 and 13,075.66 is: 18,044.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.30 : 32,686.68 = 13,075.66 : x
  2. Step 2: Convert to fraction form
    23,686.30/32,686.68 = 13,075.66/x
  3. Step 3: Cross multiply
    23,686.30x = 32,686.68 × 13,075.66
  4. Step 4: Simplify right side
    23,686.30x = 427,399,914.21
  5. Step 5: Solve for x
    x = 427,399,914.21/23,686.30
  6. Step 6: Final answer
    x = 18,044.18

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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.