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Finding the Fourth Proportional to 12,697.16, 19,040.27 and 4,900.50

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Solution

The fourth proportional to 12,697.16, 19,040.27 and 4,900.50 is: 7,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.16 : 19,040.27 = 4,900.50 : x
  2. Step 2: Convert to fraction form
    12,697.16/19,040.27 = 4,900.50/x
  3. Step 3: Cross multiply
    12,697.16x = 19,040.27 × 4,900.50
  4. Step 4: Simplify right side
    12,697.16x = 93,306,818.63
  5. Step 5: Solve for x
    x = 93,306,818.63/12,697.16
  6. Step 6: Final answer
    x = 7,348.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.