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Finding the Fourth Proportional to 16,941, 23,378.58 and 10,317

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Solution

The fourth proportional to 16,941, 23,378.58 and 10,317 is: 14,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,941 : 23,378.58 = 10,317 : x
  2. Step 2: Convert to fraction form
    16,941/23,378.58 = 10,317/x
  3. Step 3: Cross multiply
    16,941x = 23,378.58 × 10,317
  4. Step 4: Simplify right side
    16,941x = 241,196,809.86
  5. Step 5: Solve for x
    x = 241,196,809.86/16,941
  6. Step 6: Final answer
    x = 14,237.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.