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Finding the Fourth Proportional to 30,208.24, 45,246.66 and 14,593

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Solution

The fourth proportional to 30,208.24, 45,246.66 and 14,593 is: 21,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.24 : 45,246.66 = 14,593 : x
  2. Step 2: Convert to fraction form
    30,208.24/45,246.66 = 14,593/x
  3. Step 3: Cross multiply
    30,208.24x = 45,246.66 × 14,593
  4. Step 4: Simplify right side
    30,208.24x = 660,284,509.38
  5. Step 5: Solve for x
    x = 660,284,509.38/30,208.24
  6. Step 6: Final answer
    x = 21,857.76

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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.