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Finding the Fourth Proportional to 30,836.64, 42,555.34 and 17,409.14

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Solution

The fourth proportional to 30,836.64, 42,555.34 and 17,409.14 is: 24,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,836.64 : 42,555.34 = 17,409.14 : x
  2. Step 2: Convert to fraction form
    30,836.64/42,555.34 = 17,409.14/x
  3. Step 3: Cross multiply
    30,836.64x = 42,555.34 × 17,409.14
  4. Step 4: Simplify right side
    30,836.64x = 740,851,871.81
  5. Step 5: Solve for x
    x = 740,851,871.81/30,836.64
  6. Step 6: Final answer
    x = 24,025.05

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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.