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Finding the Fourth Proportional to 15,465.48, 23,226.84 and 8,075.04

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Solution

The fourth proportional to 15,465.48, 23,226.84 and 8,075.04 is: 12,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465.48 : 23,226.84 = 8,075.04 : x
  2. Step 2: Convert to fraction form
    15,465.48/23,226.84 = 8,075.04/x
  3. Step 3: Cross multiply
    15,465.48x = 23,226.84 × 8,075.04
  4. Step 4: Simplify right side
    15,465.48x = 187,557,662.07
  5. Step 5: Solve for x
    x = 187,557,662.07/15,465.48
  6. Step 6: Final answer
    x = 12,127.50

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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.