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Finding the Fourth Proportional to 28,894.24, 43,345 and 9,922.58

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Solution

The fourth proportional to 28,894.24, 43,345 and 9,922.58 is: 14,885.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,894.24 : 43,345 = 9,922.58 : x
  2. Step 2: Convert to fraction form
    28,894.24/43,345 = 9,922.58/x
  3. Step 3: Cross multiply
    28,894.24x = 43,345 × 9,922.58
  4. Step 4: Simplify right side
    28,894.24x = 430,094,230.10
  5. Step 5: Solve for x
    x = 430,094,230.10/28,894.24
  6. Step 6: Final answer
    x = 14,885.12

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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.