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Finding the Fourth Proportional to 21,499.52, 29,666.76 and 12,546

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Solution

The fourth proportional to 21,499.52, 29,666.76 and 12,546 is: 17,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,499.52 : 29,666.76 = 12,546 : x
  2. Step 2: Convert to fraction form
    21,499.52/29,666.76 = 12,546/x
  3. Step 3: Cross multiply
    21,499.52x = 29,666.76 × 12,546
  4. Step 4: Simplify right side
    21,499.52x = 372,199,170.96
  5. Step 5: Solve for x
    x = 372,199,170.96/21,499.52
  6. Step 6: Final answer
    x = 17,311.98

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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.