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Finding the Fourth Proportional to 23,598.76, 32,561.06 and 13,657

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Solution

The fourth proportional to 23,598.76, 32,561.06 and 13,657 is: 18,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,598.76 : 32,561.06 = 13,657 : x
  2. Step 2: Convert to fraction form
    23,598.76/32,561.06 = 13,657/x
  3. Step 3: Cross multiply
    23,598.76x = 32,561.06 × 13,657
  4. Step 4: Simplify right side
    23,598.76x = 444,686,396.42
  5. Step 5: Solve for x
    x = 444,686,396.42/23,598.76
  6. Step 6: Final answer
    x = 18,843.63

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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.