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Finding the Fourth Proportional to 17,301.69, 23,873.78 and 9,746.51

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Solution

The fourth proportional to 17,301.69, 23,873.78 and 9,746.51 is: 13,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,301.69 : 23,873.78 = 9,746.51 : x
  2. Step 2: Convert to fraction form
    17,301.69/23,873.78 = 9,746.51/x
  3. Step 3: Cross multiply
    17,301.69x = 23,873.78 × 9,746.51
  4. Step 4: Simplify right side
    17,301.69x = 232,685,867.41
  5. Step 5: Solve for x
    x = 232,685,867.41/17,301.69
  6. Step 6: Final answer
    x = 13,448.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.