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Finding the Fourth Proportional to 23,686, 32,686.04 and 13,075.40

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Solution

The fourth proportional to 23,686, 32,686.04 and 13,075.40 is: 18,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686 : 32,686.04 = 13,075.40 : x
  2. Step 2: Convert to fraction form
    23,686/32,686.04 = 13,075.40/x
  3. Step 3: Cross multiply
    23,686x = 32,686.04 × 13,075.40
  4. Step 4: Simplify right side
    23,686x = 427,383,047.42
  5. Step 5: Solve for x
    x = 427,383,047.42/23,686
  6. Step 6: Final answer
    x = 18,043.70

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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.