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Finding the Fourth Proportional to 14,828.66, 22,232.51 and 6,922.81

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Solution

The fourth proportional to 14,828.66, 22,232.51 and 6,922.81 is: 10,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828.66 : 22,232.51 = 6,922.81 : x
  2. Step 2: Convert to fraction form
    14,828.66/22,232.51 = 6,922.81/x
  3. Step 3: Cross multiply
    14,828.66x = 22,232.51 × 6,922.81
  4. Step 4: Simplify right side
    14,828.66x = 153,911,404.28
  5. Step 5: Solve for x
    x = 153,911,404.28/14,828.66
  6. Step 6: Final answer
    x = 10,379.32

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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.