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Finding the Fourth Proportional to 17,447.64, 24,077.84 and 10,374.12

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Solution

The fourth proportional to 17,447.64, 24,077.84 and 10,374.12 is: 14,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,447.64 : 24,077.84 = 10,374.12 : x
  2. Step 2: Convert to fraction form
    17,447.64/24,077.84 = 10,374.12/x
  3. Step 3: Cross multiply
    17,447.64x = 24,077.84 × 10,374.12
  4. Step 4: Simplify right side
    17,447.64x = 249,786,401.50
  5. Step 5: Solve for x
    x = 249,786,401.50/17,447.64
  6. Step 6: Final answer
    x = 14,316.34

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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.