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Finding the Fourth Proportional to 12,814.63, 17,684.21 and 7,509.45

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Solution

The fourth proportional to 12,814.63, 17,684.21 and 7,509.45 is: 10,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.63 : 17,684.21 = 7,509.45 : x
  2. Step 2: Convert to fraction form
    12,814.63/17,684.21 = 7,509.45/x
  3. Step 3: Cross multiply
    12,814.63x = 17,684.21 × 7,509.45
  4. Step 4: Simplify right side
    12,814.63x = 132,798,634.16
  5. Step 5: Solve for x
    x = 132,798,634.16/12,814.63
  6. Step 6: Final answer
    x = 10,363.05

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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.