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Finding the Fourth Proportional to 12,697.34, 19,064.45 and 9,375.82

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Solution

The fourth proportional to 12,697.34, 19,064.45 and 9,375.82 is: 14,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.34 : 19,064.45 = 9,375.82 : x
  2. Step 2: Convert to fraction form
    12,697.34/19,064.45 = 9,375.82/x
  3. Step 3: Cross multiply
    12,697.34x = 19,064.45 × 9,375.82
  4. Step 4: Simplify right side
    12,697.34x = 178,744,827.38
  5. Step 5: Solve for x
    x = 178,744,827.38/12,697.34
  6. Step 6: Final answer
    x = 14,077.35

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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.