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Finding the Fourth Proportional to 23,019.33, 31,767 and 13,587.89

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Solution

The fourth proportional to 23,019.33, 31,767 and 13,587.89 is: 18,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.33 : 31,767 = 13,587.89 : x
  2. Step 2: Convert to fraction form
    23,019.33/31,767 = 13,587.89/x
  3. Step 3: Cross multiply
    23,019.33x = 31,767 × 13,587.89
  4. Step 4: Simplify right side
    23,019.33x = 431,646,501.63
  5. Step 5: Solve for x
    x = 431,646,501.63/23,019.33
  6. Step 6: Final answer
    x = 18,751.48

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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.