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Finding the Fourth Proportional to 23,128, 31,916.64 and 13,192

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Solution

The fourth proportional to 23,128, 31,916.64 and 13,192 is: 18,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,128 : 31,916.64 = 13,192 : x
  2. Step 2: Convert to fraction form
    23,128/31,916.64 = 13,192/x
  3. Step 3: Cross multiply
    23,128x = 31,916.64 × 13,192
  4. Step 4: Simplify right side
    23,128x = 421,044,314.88
  5. Step 5: Solve for x
    x = 421,044,314.88/23,128
  6. Step 6: Final answer
    x = 18,204.96

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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.