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Finding the Fourth Proportional to 16,894.75, 23,315.48 and 9,442.75

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Solution

The fourth proportional to 16,894.75, 23,315.48 and 9,442.75 is: 13,031.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.75 : 23,315.48 = 9,442.75 : x
  2. Step 2: Convert to fraction form
    16,894.75/23,315.48 = 9,442.75/x
  3. Step 3: Cross multiply
    16,894.75x = 23,315.48 × 9,442.75
  4. Step 4: Simplify right side
    16,894.75x = 220,162,248.77
  5. Step 5: Solve for x
    x = 220,162,248.77/16,894.75
  6. Step 6: Final answer
    x = 13,031.40

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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.