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Finding the Fourth Proportional to 30,868.44, 42,598.32 and 17,438.64

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Solution

The fourth proportional to 30,868.44, 42,598.32 and 17,438.64 is: 24,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.44 : 42,598.32 = 17,438.64 : x
  2. Step 2: Convert to fraction form
    30,868.44/42,598.32 = 17,438.64/x
  3. Step 3: Cross multiply
    30,868.44x = 42,598.32 × 17,438.64
  4. Step 4: Simplify right side
    30,868.44x = 742,856,767.08
  5. Step 5: Solve for x
    x = 742,856,767.08/30,868.44
  6. Step 6: Final answer
    x = 24,065.25

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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.