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Finding the Fourth Proportional to 17,408.64, 26,112.96 and 6,315.32

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Solution

The fourth proportional to 17,408.64, 26,112.96 and 6,315.32 is: 9,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,408.64 : 26,112.96 = 6,315.32 : x
  2. Step 2: Convert to fraction form
    17,408.64/26,112.96 = 6,315.32/x
  3. Step 3: Cross multiply
    17,408.64x = 26,112.96 × 6,315.32
  4. Step 4: Simplify right side
    17,408.64x = 164,911,698.55
  5. Step 5: Solve for x
    x = 164,911,698.55/17,408.64
  6. Step 6: Final answer
    x = 9,472.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.