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Finding the Fourth Proportional to 16,577.28, 22,876.80 and 9,503.36

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Solution

The fourth proportional to 16,577.28, 22,876.80 and 9,503.36 is: 13,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.28 : 22,876.80 = 9,503.36 : x
  2. Step 2: Convert to fraction form
    16,577.28/22,876.80 = 9,503.36/x
  3. Step 3: Cross multiply
    16,577.28x = 22,876.80 × 9,503.36
  4. Step 4: Simplify right side
    16,577.28x = 217,406,466.05
  5. Step 5: Solve for x
    x = 217,406,466.05/16,577.28
  6. Step 6: Final answer
    x = 13,114.72

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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.