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Finding the Fourth Proportional to 15,388.84, 23,075.04 and 7,985.84

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Solution

The fourth proportional to 15,388.84, 23,075.04 and 7,985.84 is: 11,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,388.84 : 23,075.04 = 7,985.84 : x
  2. Step 2: Convert to fraction form
    15,388.84/23,075.04 = 7,985.84/x
  3. Step 3: Cross multiply
    15,388.84x = 23,075.04 × 7,985.84
  4. Step 4: Simplify right side
    15,388.84x = 184,273,577.43
  5. Step 5: Solve for x
    x = 184,273,577.43/15,388.84
  6. Step 6: Final answer
    x = 11,974.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.