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Finding the Fourth Proportional to 30,414.69, 45,623.66 and 9,639.81

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Solution

The fourth proportional to 30,414.69, 45,623.66 and 9,639.81 is: 14,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.69 : 45,623.66 = 9,639.81 : x
  2. Step 2: Convert to fraction form
    30,414.69/45,623.66 = 9,639.81/x
  3. Step 3: Cross multiply
    30,414.69x = 45,623.66 × 9,639.81
  4. Step 4: Simplify right side
    30,414.69x = 439,803,365.71
  5. Step 5: Solve for x
    x = 439,803,365.71/30,414.69
  6. Step 6: Final answer
    x = 14,460.23

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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.