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Finding the Fourth Proportional to 13,298.96, 19,867.06 and 9,569.36

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Solution

The fourth proportional to 13,298.96, 19,867.06 and 9,569.36 is: 14,295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,298.96 : 19,867.06 = 9,569.36 : x
  2. Step 2: Convert to fraction form
    13,298.96/19,867.06 = 9,569.36/x
  3. Step 3: Cross multiply
    13,298.96x = 19,867.06 × 9,569.36
  4. Step 4: Simplify right side
    13,298.96x = 190,115,049.28
  5. Step 5: Solve for x
    x = 190,115,049.28/13,298.96
  6. Step 6: Final answer
    x = 14,295.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.