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Finding the Fourth Proportional to 19,602.88, 29,407.97 and 6,455.77

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Solution

The fourth proportional to 19,602.88, 29,407.97 and 6,455.77 is: 9,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,602.88 : 29,407.97 = 6,455.77 : x
  2. Step 2: Convert to fraction form
    19,602.88/29,407.97 = 6,455.77/x
  3. Step 3: Cross multiply
    19,602.88x = 29,407.97 × 6,455.77
  4. Step 4: Simplify right side
    19,602.88x = 189,851,090.49
  5. Step 5: Solve for x
    x = 189,851,090.49/19,602.88
  6. Step 6: Final answer
    x = 9,684.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.