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Finding the Fourth Proportional to 28,416.34, 42,624.51 and 9,696.38

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Solution

The fourth proportional to 28,416.34, 42,624.51 and 9,696.38 is: 14,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,416.34 : 42,624.51 = 9,696.38 : x
  2. Step 2: Convert to fraction form
    28,416.34/42,624.51 = 9,696.38/x
  3. Step 3: Cross multiply
    28,416.34x = 42,624.51 × 9,696.38
  4. Step 4: Simplify right side
    28,416.34x = 413,303,244.01
  5. Step 5: Solve for x
    x = 413,303,244.01/28,416.34
  6. Step 6: Final answer
    x = 14,544.56

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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.