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Finding the Fourth Proportional to 21,498, 29,667.45 and 12,066.77

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Solution

The fourth proportional to 21,498, 29,667.45 and 12,066.77 is: 16,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,498 : 29,667.45 = 12,066.77 : x
  2. Step 2: Convert to fraction form
    21,498/29,667.45 = 12,066.77/x
  3. Step 3: Cross multiply
    21,498x = 29,667.45 × 12,066.77
  4. Step 4: Simplify right side
    21,498x = 357,990,147.30
  5. Step 5: Solve for x
    x = 357,990,147.30/21,498
  6. Step 6: Final answer
    x = 16,652.25

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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.