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Finding the Fourth Proportional to 14,075.22, 19,423.82 and 7,702.41

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Solution

The fourth proportional to 14,075.22, 19,423.82 and 7,702.41 is: 10,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.22 : 19,423.82 = 7,702.41 : x
  2. Step 2: Convert to fraction form
    14,075.22/19,423.82 = 7,702.41/x
  3. Step 3: Cross multiply
    14,075.22x = 19,423.82 × 7,702.41
  4. Step 4: Simplify right side
    14,075.22x = 149,610,244.66
  5. Step 5: Solve for x
    x = 149,610,244.66/14,075.22
  6. Step 6: Final answer
    x = 10,629.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.