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Finding the Fourth Proportional to 21,406.48, 29,541.06 and 12,454.24

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Solution

The fourth proportional to 21,406.48, 29,541.06 and 12,454.24 is: 17,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.48 : 29,541.06 = 12,454.24 : x
  2. Step 2: Convert to fraction form
    21,406.48/29,541.06 = 12,454.24/x
  3. Step 3: Cross multiply
    21,406.48x = 29,541.06 × 12,454.24
  4. Step 4: Simplify right side
    21,406.48x = 367,911,451.09
  5. Step 5: Solve for x
    x = 367,911,451.09/21,406.48
  6. Step 6: Final answer
    x = 17,186.92

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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.