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Finding the Fourth Proportional to 13,005.89, 19,510.86 and 4,238.77

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Solution

The fourth proportional to 13,005.89, 19,510.86 and 4,238.77 is: 6,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.89 : 19,510.86 = 4,238.77 : x
  2. Step 2: Convert to fraction form
    13,005.89/19,510.86 = 4,238.77/x
  3. Step 3: Cross multiply
    13,005.89x = 19,510.86 × 4,238.77
  4. Step 4: Simplify right side
    13,005.89x = 82,702,048.04
  5. Step 5: Solve for x
    x = 82,702,048.04/13,005.89
  6. Step 6: Final answer
    x = 6,358.81

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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.