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Finding the Fourth Proportional to 28,412, 42,626.10 and 9,696.20

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Solution

The fourth proportional to 28,412, 42,626.10 and 9,696.20 is: 14,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,412 : 42,626.10 = 9,696.20 : x
  2. Step 2: Convert to fraction form
    28,412/42,626.10 = 9,696.20/x
  3. Step 3: Cross multiply
    28,412x = 42,626.10 × 9,696.20
  4. Step 4: Simplify right side
    28,412x = 413,311,190.82
  5. Step 5: Solve for x
    x = 413,311,190.82/28,412
  6. Step 6: Final answer
    x = 14,547.06

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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.