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Finding the Fourth Proportional to 21,265.57, 29,345.19 and 12,312.41

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Solution

The fourth proportional to 21,265.57, 29,345.19 and 12,312.41 is: 16,990.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,265.57 : 29,345.19 = 12,312.41 : x
  2. Step 2: Convert to fraction form
    21,265.57/29,345.19 = 12,312.41/x
  3. Step 3: Cross multiply
    21,265.57x = 29,345.19 × 12,312.41
  4. Step 4: Simplify right side
    21,265.57x = 361,310,010.81
  5. Step 5: Solve for x
    x = 361,310,010.81/21,265.57
  6. Step 6: Final answer
    x = 16,990.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.