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Finding the Fourth Proportional to 13,237.84, 19,826.52 and 6,317.20

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Solution

The fourth proportional to 13,237.84, 19,826.52 and 6,317.20 is: 9,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.84 : 19,826.52 = 6,317.20 : x
  2. Step 2: Convert to fraction form
    13,237.84/19,826.52 = 6,317.20/x
  3. Step 3: Cross multiply
    13,237.84x = 19,826.52 × 6,317.20
  4. Step 4: Simplify right side
    13,237.84x = 125,248,092.14
  5. Step 5: Solve for x
    x = 125,248,092.14/13,237.84
  6. Step 6: Final answer
    x = 9,461.37

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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.