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Finding the Fourth Proportional to 17,329.16, 23,917.38 and 10,259.12

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Solution

The fourth proportional to 17,329.16, 23,917.38 and 10,259.12 is: 14,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,329.16 : 23,917.38 = 10,259.12 : x
  2. Step 2: Convert to fraction form
    17,329.16/23,917.38 = 10,259.12/x
  3. Step 3: Cross multiply
    17,329.16x = 23,917.38 × 10,259.12
  4. Step 4: Simplify right side
    17,329.16x = 245,371,271.51
  5. Step 5: Solve for x
    x = 245,371,271.51/17,329.16
  6. Step 6: Final answer
    x = 14,159.44

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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.