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Finding the Fourth Proportional to 14,823.78, 22,223.19 and 6,922.16

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Solution

The fourth proportional to 14,823.78, 22,223.19 and 6,922.16 is: 10,377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.78 : 22,223.19 = 6,922.16 : x
  2. Step 2: Convert to fraction form
    14,823.78/22,223.19 = 6,922.16/x
  3. Step 3: Cross multiply
    14,823.78x = 22,223.19 × 6,922.16
  4. Step 4: Simplify right side
    14,823.78x = 153,832,365.77
  5. Step 5: Solve for x
    x = 153,832,365.77/14,823.78
  6. Step 6: Final answer
    x = 10,377.40

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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.