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Finding the Fourth Proportional to 30,397.74, 45,613 and 14,815.38

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Solution

The fourth proportional to 30,397.74, 45,613 and 14,815.38 is: 22,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.74 : 45,613 = 14,815.38 : x
  2. Step 2: Convert to fraction form
    30,397.74/45,613 = 14,815.38/x
  3. Step 3: Cross multiply
    30,397.74x = 45,613 × 14,815.38
  4. Step 4: Simplify right side
    30,397.74x = 675,773,927.94
  5. Step 5: Solve for x
    x = 675,773,927.94/30,397.74
  6. Step 6: Final answer
    x = 22,231.06

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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.