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Finding the Fourth Proportional to 16,577.48, 22,871.34 and 9,406.64

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Solution

The fourth proportional to 16,577.48, 22,871.34 and 9,406.64 is: 12,978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.48 : 22,871.34 = 9,406.64 : x
  2. Step 2: Convert to fraction form
    16,577.48/22,871.34 = 9,406.64/x
  3. Step 3: Cross multiply
    16,577.48x = 22,871.34 × 9,406.64
  4. Step 4: Simplify right side
    16,577.48x = 215,142,461.70
  5. Step 5: Solve for x
    x = 215,142,461.70/16,577.48
  6. Step 6: Final answer
    x = 12,978.00

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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.