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Finding the Fourth Proportional to 19,075.34, 28,616.60 and 7,678.14

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Solution

The fourth proportional to 19,075.34, 28,616.60 and 7,678.14 is: 11,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,075.34 : 28,616.60 = 7,678.14 : x
  2. Step 2: Convert to fraction form
    19,075.34/28,616.60 = 7,678.14/x
  3. Step 3: Cross multiply
    19,075.34x = 28,616.60 × 7,678.14
  4. Step 4: Simplify right side
    19,075.34x = 219,722,129.82
  5. Step 5: Solve for x
    x = 219,722,129.82/19,075.34
  6. Step 6: Final answer
    x = 11,518.65

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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.