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Finding the Fourth Proportional to 12,788.23, 17,648.06 and 7,123.36

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Solution

The fourth proportional to 12,788.23, 17,648.06 and 7,123.36 is: 9,830.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.23 : 17,648.06 = 7,123.36 : x
  2. Step 2: Convert to fraction form
    12,788.23/17,648.06 = 7,123.36/x
  3. Step 3: Cross multiply
    12,788.23x = 17,648.06 × 7,123.36
  4. Step 4: Simplify right side
    12,788.23x = 125,713,478.10
  5. Step 5: Solve for x
    x = 125,713,478.10/12,788.23
  6. Step 6: Final answer
    x = 9,830.41

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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.