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Finding the Fourth Proportional to 13,038.98, 19,557.65 and 4,154.09

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Solution

The fourth proportional to 13,038.98, 19,557.65 and 4,154.09 is: 6,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.98 : 19,557.65 = 4,154.09 : x
  2. Step 2: Convert to fraction form
    13,038.98/19,557.65 = 4,154.09/x
  3. Step 3: Cross multiply
    13,038.98x = 19,557.65 × 4,154.09
  4. Step 4: Simplify right side
    13,038.98x = 81,244,150.89
  5. Step 5: Solve for x
    x = 81,244,150.89/13,038.98
  6. Step 6: Final answer
    x = 6,230.87

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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.