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Finding the Fourth Proportional to 23,685.86, 32,686.45 and 13,075.49

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Solution

The fourth proportional to 23,685.86, 32,686.45 and 13,075.49 is: 18,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.86 : 32,686.45 = 13,075.49 : x
  2. Step 2: Convert to fraction form
    23,685.86/32,686.45 = 13,075.49/x
  3. Step 3: Cross multiply
    23,685.86x = 32,686.45 × 13,075.49
  4. Step 4: Simplify right side
    23,685.86x = 427,391,399.14
  5. Step 5: Solve for x
    x = 427,391,399.14/23,685.86
  6. Step 6: Final answer
    x = 18,044.16

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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.