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Finding the Fourth Proportional to 13,005.77, 19,510.67 and 4,238.63

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Solution

The fourth proportional to 13,005.77, 19,510.67 and 4,238.63 is: 6,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.77 : 19,510.67 = 4,238.63 : x
  2. Step 2: Convert to fraction form
    13,005.77/19,510.67 = 4,238.63/x
  3. Step 3: Cross multiply
    13,005.77x = 19,510.67 × 4,238.63
  4. Step 4: Simplify right side
    13,005.77x = 82,698,497.39
  5. Step 5: Solve for x
    x = 82,698,497.39/13,005.77
  6. Step 6: Final answer
    x = 6,358.60

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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.