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Finding the Fourth Proportional to 12,045.09, 16,624.11 and 7,569.45

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Solution

The fourth proportional to 12,045.09, 16,624.11 and 7,569.45 is: 10,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.09 : 16,624.11 = 7,569.45 : x
  2. Step 2: Convert to fraction form
    12,045.09/16,624.11 = 7,569.45/x
  3. Step 3: Cross multiply
    12,045.09x = 16,624.11 × 7,569.45
  4. Step 4: Simplify right side
    12,045.09x = 125,835,369.44
  5. Step 5: Solve for x
    x = 125,835,369.44/12,045.09
  6. Step 6: Final answer
    x = 10,447.03

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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.