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Finding the Fourth Proportional to 27,477.72, 37,905.30 and 17,389.16

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Solution

The fourth proportional to 27,477.72, 37,905.30 and 17,389.16 is: 23,988.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.72 : 37,905.30 = 17,389.16 : x
  2. Step 2: Convert to fraction form
    27,477.72/37,905.30 = 17,389.16/x
  3. Step 3: Cross multiply
    27,477.72x = 37,905.30 × 17,389.16
  4. Step 4: Simplify right side
    27,477.72x = 659,141,326.55
  5. Step 5: Solve for x
    x = 659,141,326.55/27,477.72
  6. Step 6: Final answer
    x = 23,988.21

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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.