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Finding the Fourth Proportional to 21,085.27, 29,097.70 and 12,132.59

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Solution

The fourth proportional to 21,085.27, 29,097.70 and 12,132.59 is: 16,742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.27 : 29,097.70 = 12,132.59 : x
  2. Step 2: Convert to fraction form
    21,085.27/29,097.70 = 12,132.59/x
  3. Step 3: Cross multiply
    21,085.27x = 29,097.70 × 12,132.59
  4. Step 4: Simplify right side
    21,085.27x = 353,030,506.46
  5. Step 5: Solve for x
    x = 353,030,506.46/21,085.27
  6. Step 6: Final answer
    x = 16,742.99

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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.