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Finding the Fourth Proportional to 13,009.84, 19,520.33 and 4,125.89

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Solution

The fourth proportional to 13,009.84, 19,520.33 and 4,125.89 is: 6,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.84 : 19,520.33 = 4,125.89 : x
  2. Step 2: Convert to fraction form
    13,009.84/19,520.33 = 4,125.89/x
  3. Step 3: Cross multiply
    13,009.84x = 19,520.33 × 4,125.89
  4. Step 4: Simplify right side
    13,009.84x = 80,538,762.52
  5. Step 5: Solve for x
    x = 80,538,762.52/13,009.84
  6. Step 6: Final answer
    x = 6,190.60

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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.