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Finding the Fourth Proportional to 12,938.22, 17,835.93 and 9,149.58

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Solution

The fourth proportional to 12,938.22, 17,835.93 and 9,149.58 is: 12,613.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.22 : 17,835.93 = 9,149.58 : x
  2. Step 2: Convert to fraction form
    12,938.22/17,835.93 = 9,149.58/x
  3. Step 3: Cross multiply
    12,938.22x = 17,835.93 × 9,149.58
  4. Step 4: Simplify right side
    12,938.22x = 163,191,268.41
  5. Step 5: Solve for x
    x = 163,191,268.41/12,938.22
  6. Step 6: Final answer
    x = 12,613.12

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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.