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Finding the Fourth Proportional to 30,922.68, 46,389.53 and 9,867.34

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Solution

The fourth proportional to 30,922.68, 46,389.53 and 9,867.34 is: 14,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,922.68 : 46,389.53 = 9,867.34 : x
  2. Step 2: Convert to fraction form
    30,922.68/46,389.53 = 9,867.34/x
  3. Step 3: Cross multiply
    30,922.68x = 46,389.53 × 9,867.34
  4. Step 4: Simplify right side
    30,922.68x = 457,741,264.95
  5. Step 5: Solve for x
    x = 457,741,264.95/30,922.68
  6. Step 6: Final answer
    x = 14,802.77

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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.