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Finding the Fourth Proportional to 16,054.57, 24,075.07 and 4,811.50

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Solution

The fourth proportional to 16,054.57, 24,075.07 and 4,811.50 is: 7,215.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,054.57 : 24,075.07 = 4,811.50 : x
  2. Step 2: Convert to fraction form
    16,054.57/24,075.07 = 4,811.50/x
  3. Step 3: Cross multiply
    16,054.57x = 24,075.07 × 4,811.50
  4. Step 4: Simplify right side
    16,054.57x = 115,837,199.31
  5. Step 5: Solve for x
    x = 115,837,199.31/16,054.57
  6. Step 6: Final answer
    x = 7,215.22

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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.