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Finding the Fourth Proportional to 14,406.18, 21,570.31 and 7,466.10

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Solution

The fourth proportional to 14,406.18, 21,570.31 and 7,466.10 is: 11,178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.18 : 21,570.31 = 7,466.10 : x
  2. Step 2: Convert to fraction form
    14,406.18/21,570.31 = 7,466.10/x
  3. Step 3: Cross multiply
    14,406.18x = 21,570.31 × 7,466.10
  4. Step 4: Simplify right side
    14,406.18x = 161,046,091.49
  5. Step 5: Solve for x
    x = 161,046,091.49/14,406.18
  6. Step 6: Final answer
    x = 11,178.96

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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.