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Finding the Fourth Proportional to 14,461.20, 21,677.40 and 6,656.40

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Solution

The fourth proportional to 14,461.20, 21,677.40 and 6,656.40 is: 9,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.20 : 21,677.40 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    14,461.20/21,677.40 = 6,656.40/x
  3. Step 3: Cross multiply
    14,461.20x = 21,677.40 × 6,656.40
  4. Step 4: Simplify right side
    14,461.20x = 144,293,445.36
  5. Step 5: Solve for x
    x = 144,293,445.36/14,461.20
  6. Step 6: Final answer
    x = 9,977.97

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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.