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Finding the Fourth Proportional to 21,406.05, 29,543.45 and 12,458.49

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Solution

The fourth proportional to 21,406.05, 29,543.45 and 12,458.49 is: 17,194.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,406.05 : 29,543.45 = 12,458.49 : x
  2. Step 2: Convert to fraction form
    21,406.05/29,543.45 = 12,458.49/x
  3. Step 3: Cross multiply
    21,406.05x = 29,543.45 × 12,458.49
  4. Step 4: Simplify right side
    21,406.05x = 368,066,603.31
  5. Step 5: Solve for x
    x = 368,066,603.31/21,406.05
  6. Step 6: Final answer
    x = 17,194.51

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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.