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Finding the Fourth Proportional to 12,074.54, 16,663.95 and 7,038.36

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Solution

The fourth proportional to 12,074.54, 16,663.95 and 7,038.36 is: 9,713.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.54 : 16,663.95 = 7,038.36 : x
  2. Step 2: Convert to fraction form
    12,074.54/16,663.95 = 7,038.36/x
  3. Step 3: Cross multiply
    12,074.54x = 16,663.95 × 7,038.36
  4. Step 4: Simplify right side
    12,074.54x = 117,286,879.12
  5. Step 5: Solve for x
    x = 117,286,879.12/12,074.54
  6. Step 6: Final answer
    x = 9,713.57

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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.