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Finding the Fourth Proportional to 17,187, 25,776.54 and 9,693.84

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Solution

The fourth proportional to 17,187, 25,776.54 and 9,693.84 is: 14,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,187 : 25,776.54 = 9,693.84 : x
  2. Step 2: Convert to fraction form
    17,187/25,776.54 = 9,693.84/x
  3. Step 3: Cross multiply
    17,187x = 25,776.54 × 9,693.84
  4. Step 4: Simplify right side
    17,187x = 249,873,654.51
  5. Step 5: Solve for x
    x = 249,873,654.51/17,187
  6. Step 6: Final answer
    x = 14,538.53

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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.