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Finding the Fourth Proportional to 14,461.56, 21,677.31 and 6,146.91

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Solution

The fourth proportional to 14,461.56, 21,677.31 and 6,146.91 is: 9,213.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.56 : 21,677.31 = 6,146.91 : x
  2. Step 2: Convert to fraction form
    14,461.56/21,677.31 = 6,146.91/x
  3. Step 3: Cross multiply
    14,461.56x = 21,677.31 × 6,146.91
  4. Step 4: Simplify right side
    14,461.56x = 133,248,473.61
  5. Step 5: Solve for x
    x = 133,248,473.61/14,461.56
  6. Step 6: Final answer
    x = 9,213.98

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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.