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Finding the Fourth Proportional to 12,466.09, 18,702.65 and 5,075.85

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Solution

The fourth proportional to 12,466.09, 18,702.65 and 5,075.85 is: 7,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.09 : 18,702.65 = 5,075.85 : x
  2. Step 2: Convert to fraction form
    12,466.09/18,702.65 = 5,075.85/x
  3. Step 3: Cross multiply
    12,466.09x = 18,702.65 × 5,075.85
  4. Step 4: Simplify right side
    12,466.09x = 94,931,846.00
  5. Step 5: Solve for x
    x = 94,931,846.00/12,466.09
  6. Step 6: Final answer
    x = 7,615.21

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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.