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Finding the Fourth Proportional to 13,772.19, 19,005.74 and 7,484.56

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Solution

The fourth proportional to 13,772.19, 19,005.74 and 7,484.56 is: 10,328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.19 : 19,005.74 = 7,484.56 : x
  2. Step 2: Convert to fraction form
    13,772.19/19,005.74 = 7,484.56/x
  3. Step 3: Cross multiply
    13,772.19x = 19,005.74 × 7,484.56
  4. Step 4: Simplify right side
    13,772.19x = 142,249,601.37
  5. Step 5: Solve for x
    x = 142,249,601.37/13,772.19
  6. Step 6: Final answer
    x = 10,328.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.