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Finding the Fourth Proportional to 17,688.58, 24,409.14 and 10,618.90

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Solution

The fourth proportional to 17,688.58, 24,409.14 and 10,618.90 is: 14,653.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,688.58 : 24,409.14 = 10,618.90 : x
  2. Step 2: Convert to fraction form
    17,688.58/24,409.14 = 10,618.90/x
  3. Step 3: Cross multiply
    17,688.58x = 24,409.14 × 10,618.90
  4. Step 4: Simplify right side
    17,688.58x = 259,198,094.70
  5. Step 5: Solve for x
    x = 259,198,094.70/17,688.58
  6. Step 6: Final answer
    x = 14,653.42

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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.