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Finding the Fourth Proportional to 13,045.88, 19,535.40 and 7,196

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Solution

The fourth proportional to 13,045.88, 19,535.40 and 7,196 is: 10,775.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045.88 : 19,535.40 = 7,196 : x
  2. Step 2: Convert to fraction form
    13,045.88/19,535.40 = 7,196/x
  3. Step 3: Cross multiply
    13,045.88x = 19,535.40 × 7,196
  4. Step 4: Simplify right side
    13,045.88x = 140,576,738.40
  5. Step 5: Solve for x
    x = 140,576,738.40/13,045.88
  6. Step 6: Final answer
    x = 10,775.57

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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.