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Finding the Fourth Proportional to 13,302, 19,953.10 and 5,904.47

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Solution

The fourth proportional to 13,302, 19,953.10 and 5,904.47 is: 8,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302 : 19,953.10 = 5,904.47 : x
  2. Step 2: Convert to fraction form
    13,302/19,953.10 = 5,904.47/x
  3. Step 3: Cross multiply
    13,302x = 19,953.10 × 5,904.47
  4. Step 4: Simplify right side
    13,302x = 117,812,480.36
  5. Step 5: Solve for x
    x = 117,812,480.36/13,302
  6. Step 6: Final answer
    x = 8,856.75

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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.