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Finding the Fourth Proportional to 21,091, 29,106.45 and 12,138.52

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Solution

The fourth proportional to 21,091, 29,106.45 and 12,138.52 is: 16,751.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,091 : 29,106.45 = 12,138.52 : x
  2. Step 2: Convert to fraction form
    21,091/29,106.45 = 12,138.52/x
  3. Step 3: Cross multiply
    21,091x = 29,106.45 × 12,138.52
  4. Step 4: Simplify right side
    21,091x = 353,309,225.45
  5. Step 5: Solve for x
    x = 353,309,225.45/21,091
  6. Step 6: Final answer
    x = 16,751.66

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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.