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Finding the Fourth Proportional to 12,005.74, 16,573.98 and 7,535.98

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Solution

The fourth proportional to 12,005.74, 16,573.98 and 7,535.98 is: 10,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.74 : 16,573.98 = 7,535.98 : x
  2. Step 2: Convert to fraction form
    12,005.74/16,573.98 = 7,535.98/x
  3. Step 3: Cross multiply
    12,005.74x = 16,573.98 × 7,535.98
  4. Step 4: Simplify right side
    12,005.74x = 124,901,181.80
  5. Step 5: Solve for x
    x = 124,901,181.80/12,005.74
  6. Step 6: Final answer
    x = 10,403.46

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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.