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Finding the Fourth Proportional to 12,909.34, 17,814.06 and 7,603.12

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Solution

The fourth proportional to 12,909.34, 17,814.06 and 7,603.12 is: 10,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.34 : 17,814.06 = 7,603.12 : x
  2. Step 2: Convert to fraction form
    12,909.34/17,814.06 = 7,603.12/x
  3. Step 3: Cross multiply
    12,909.34x = 17,814.06 × 7,603.12
  4. Step 4: Simplify right side
    12,909.34x = 135,442,435.87
  5. Step 5: Solve for x
    x = 135,442,435.87/12,909.34
  6. Step 6: Final answer
    x = 10,491.82

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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.