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Finding the Fourth Proportional to 12,626.96, 17,425.80 and 7,038

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Solution

The fourth proportional to 12,626.96, 17,425.80 and 7,038 is: 9,712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626.96 : 17,425.80 = 7,038 : x
  2. Step 2: Convert to fraction form
    12,626.96/17,425.80 = 7,038/x
  3. Step 3: Cross multiply
    12,626.96x = 17,425.80 × 7,038
  4. Step 4: Simplify right side
    12,626.96x = 122,642,780.40
  5. Step 5: Solve for x
    x = 122,642,780.40/12,626.96
  6. Step 6: Final answer
    x = 9,712.77

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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.