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Finding the Fourth Proportional to 21,642.14, 29,874.10 and 12,697.16

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Solution

The fourth proportional to 21,642.14, 29,874.10 and 12,697.16 is: 17,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,642.14 : 29,874.10 = 12,697.16 : x
  2. Step 2: Convert to fraction form
    21,642.14/29,874.10 = 12,697.16/x
  3. Step 3: Cross multiply
    21,642.14x = 29,874.10 × 12,697.16
  4. Step 4: Simplify right side
    21,642.14x = 379,316,070.25
  5. Step 5: Solve for x
    x = 379,316,070.25/21,642.14
  6. Step 6: Final answer
    x = 17,526.74

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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.