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Finding the Fourth Proportional to 14,075.59, 19,424.56 and 7,702.74

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Solution

The fourth proportional to 14,075.59, 19,424.56 and 7,702.74 is: 10,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.59 : 19,424.56 = 7,702.74 : x
  2. Step 2: Convert to fraction form
    14,075.59/19,424.56 = 7,702.74/x
  3. Step 3: Cross multiply
    14,075.59x = 19,424.56 × 7,702.74
  4. Step 4: Simplify right side
    14,075.59x = 149,622,335.29
  5. Step 5: Solve for x
    x = 149,622,335.29/14,075.59
  6. Step 6: Final answer
    x = 10,629.92

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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.