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Finding the Fourth Proportional to 21,084.96, 29,097 and 12,135.36

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Solution

The fourth proportional to 21,084.96, 29,097 and 12,135.36 is: 16,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084.96 : 29,097 = 12,135.36 : x
  2. Step 2: Convert to fraction form
    21,084.96/29,097 = 12,135.36/x
  3. Step 3: Cross multiply
    21,084.96x = 29,097 × 12,135.36
  4. Step 4: Simplify right side
    21,084.96x = 353,102,569.92
  5. Step 5: Solve for x
    x = 353,102,569.92/21,084.96
  6. Step 6: Final answer
    x = 16,746.66

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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.