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Finding the Fourth Proportional to 12,065.34, 16,636.77 and 7,583.70

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Solution

The fourth proportional to 12,065.34, 16,636.77 and 7,583.70 is: 10,457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.34 : 16,636.77 = 7,583.70 : x
  2. Step 2: Convert to fraction form
    12,065.34/16,636.77 = 7,583.70/x
  3. Step 3: Cross multiply
    12,065.34x = 16,636.77 × 7,583.70
  4. Step 4: Simplify right side
    12,065.34x = 126,168,272.65
  5. Step 5: Solve for x
    x = 126,168,272.65/12,065.34
  6. Step 6: Final answer
    x = 10,457.08

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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.