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Finding the Fourth Proportional to 16,989, 23,446.98 and 9,537

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Solution

The fourth proportional to 16,989, 23,446.98 and 9,537 is: 13,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989 : 23,446.98 = 9,537 : x
  2. Step 2: Convert to fraction form
    16,989/23,446.98 = 9,537/x
  3. Step 3: Cross multiply
    16,989x = 23,446.98 × 9,537
  4. Step 4: Simplify right side
    16,989x = 223,613,848.26
  5. Step 5: Solve for x
    x = 223,613,848.26/16,989
  6. Step 6: Final answer
    x = 13,162.27

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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.