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Finding the Fourth Proportional to 17,407.32, 24,022.08 and 10,334.40

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Solution

The fourth proportional to 17,407.32, 24,022.08 and 10,334.40 is: 14,261.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.32 : 24,022.08 = 10,334.40 : x
  2. Step 2: Convert to fraction form
    17,407.32/24,022.08 = 10,334.40/x
  3. Step 3: Cross multiply
    17,407.32x = 24,022.08 × 10,334.40
  4. Step 4: Simplify right side
    17,407.32x = 248,253,783.55
  5. Step 5: Solve for x
    x = 248,253,783.55/17,407.32
  6. Step 6: Final answer
    x = 14,261.46

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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.