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Finding the Fourth Proportional to 13,005.51, 19,506.24 and 4,238.48

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Solution

The fourth proportional to 13,005.51, 19,506.24 and 4,238.48 is: 6,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.51 : 19,506.24 = 4,238.48 : x
  2. Step 2: Convert to fraction form
    13,005.51/19,506.24 = 4,238.48/x
  3. Step 3: Cross multiply
    13,005.51x = 19,506.24 × 4,238.48
  4. Step 4: Simplify right side
    13,005.51x = 82,676,710.58
  5. Step 5: Solve for x
    x = 82,676,710.58/13,005.51
  6. Step 6: Final answer
    x = 6,357.05

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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.