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Finding the Fourth Proportional to 16,749, 23,113.62 and 9,297

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Solution

The fourth proportional to 16,749, 23,113.62 and 9,297 is: 12,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,749 : 23,113.62 = 9,297 : x
  2. Step 2: Convert to fraction form
    16,749/23,113.62 = 9,297/x
  3. Step 3: Cross multiply
    16,749x = 23,113.62 × 9,297
  4. Step 4: Simplify right side
    16,749x = 214,887,325.14
  5. Step 5: Solve for x
    x = 214,887,325.14/16,749
  6. Step 6: Final answer
    x = 12,829.86

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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.