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Finding the Fourth Proportional to 17,053.20, 23,533.02 and 9,499.68

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Solution

The fourth proportional to 17,053.20, 23,533.02 and 9,499.68 is: 13,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,053.20 : 23,533.02 = 9,499.68 : x
  2. Step 2: Convert to fraction form
    17,053.20/23,533.02 = 9,499.68/x
  3. Step 3: Cross multiply
    17,053.20x = 23,533.02 × 9,499.68
  4. Step 4: Simplify right side
    17,053.20x = 223,556,159.43
  5. Step 5: Solve for x
    x = 223,556,159.43/17,053.20
  6. Step 6: Final answer
    x = 13,109.34

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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.