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Finding the Fourth Proportional to 13,002.81, 19,505.09 and 4,568.29

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Solution

The fourth proportional to 13,002.81, 19,505.09 and 4,568.29 is: 6,852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.81 : 19,505.09 = 4,568.29 : x
  2. Step 2: Convert to fraction form
    13,002.81/19,505.09 = 4,568.29/x
  3. Step 3: Cross multiply
    13,002.81x = 19,505.09 × 4,568.29
  4. Step 4: Simplify right side
    13,002.81x = 89,104,877.50
  5. Step 5: Solve for x
    x = 89,104,877.50/13,002.81
  6. Step 6: Final answer
    x = 6,852.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.