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Finding the Fourth Proportional to 21,098.86, 29,123.75 and 12,149.93

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Solution

The fourth proportional to 21,098.86, 29,123.75 and 12,149.93 is: 16,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.86 : 29,123.75 = 12,149.93 : x
  2. Step 2: Convert to fraction form
    21,098.86/29,123.75 = 12,149.93/x
  3. Step 3: Cross multiply
    21,098.86x = 29,123.75 × 12,149.93
  4. Step 4: Simplify right side
    21,098.86x = 353,851,378.22
  5. Step 5: Solve for x
    x = 353,851,378.22/21,098.86
  6. Step 6: Final answer
    x = 16,771.12

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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.