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Finding the Fourth Proportional to 13,005.36, 19,509.48 and 5,213.28

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Solution

The fourth proportional to 13,005.36, 19,509.48 and 5,213.28 is: 7,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.36 : 19,509.48 = 5,213.28 : x
  2. Step 2: Convert to fraction form
    13,005.36/19,509.48 = 5,213.28/x
  3. Step 3: Cross multiply
    13,005.36x = 19,509.48 × 5,213.28
  4. Step 4: Simplify right side
    13,005.36x = 101,708,381.89
  5. Step 5: Solve for x
    x = 101,708,381.89/13,005.36
  6. Step 6: Final answer
    x = 7,820.50

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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.