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Finding the Fourth Proportional to 31,328.16, 43,232.16 and 17,897.28

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Solution

The fourth proportional to 31,328.16, 43,232.16 and 17,897.28 is: 24,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.16 : 43,232.16 = 17,897.28 : x
  2. Step 2: Convert to fraction form
    31,328.16/43,232.16 = 17,897.28/x
  3. Step 3: Cross multiply
    31,328.16x = 43,232.16 × 17,897.28
  4. Step 4: Simplify right side
    31,328.16x = 773,738,072.52
  5. Step 5: Solve for x
    x = 773,738,072.52/31,328.16
  6. Step 6: Final answer
    x = 24,697.85

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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.