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Finding the Fourth Proportional to 13,038.02, 19,556.82 and 5,246.63

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Solution

The fourth proportional to 13,038.02, 19,556.82 and 5,246.63 is: 7,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.02 : 19,556.82 = 5,246.63 : x
  2. Step 2: Convert to fraction form
    13,038.02/19,556.82 = 5,246.63/x
  3. Step 3: Cross multiply
    13,038.02x = 19,556.82 × 5,246.63
  4. Step 4: Simplify right side
    13,038.02x = 102,607,300.73
  5. Step 5: Solve for x
    x = 102,607,300.73/13,038.02
  6. Step 6: Final answer
    x = 7,869.86

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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.