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Finding the Fourth Proportional to 13,973.76, 19,283.00 and 8,005.68

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Solution

The fourth proportional to 13,973.76, 19,283.00 and 8,005.68 is: 11,047.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,973.76 : 19,283.00 = 8,005.68 : x
  2. Step 2: Convert to fraction form
    13,973.76/19,283.00 = 8,005.68/x
  3. Step 3: Cross multiply
    13,973.76x = 19,283.00 × 8,005.68
  4. Step 4: Simplify right side
    13,973.76x = 154,373,487.41
  5. Step 5: Solve for x
    x = 154,373,487.41/13,973.76
  6. Step 6: Final answer
    x = 11,047.38

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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.