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Finding the Fourth Proportional to 12,557.03, 17,329.14 and 8,315.46

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Solution

The fourth proportional to 12,557.03, 17,329.14 and 8,315.46 is: 11,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,557.03 : 17,329.14 = 8,315.46 : x
  2. Step 2: Convert to fraction form
    12,557.03/17,329.14 = 8,315.46/x
  3. Step 3: Cross multiply
    12,557.03x = 17,329.14 × 8,315.46
  4. Step 4: Simplify right side
    12,557.03x = 144,099,770.50
  5. Step 5: Solve for x
    x = 144,099,770.50/12,557.03
  6. Step 6: Final answer
    x = 11,475.63

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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.