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Finding the Fourth Proportional to 14,386.64, 21,593.40 and 7,466

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Solution

The fourth proportional to 14,386.64, 21,593.40 and 7,466 is: 11,205.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.64 : 21,593.40 = 7,466 : x
  2. Step 2: Convert to fraction form
    14,386.64/21,593.40 = 7,466/x
  3. Step 3: Cross multiply
    14,386.64x = 21,593.40 × 7,466
  4. Step 4: Simplify right side
    14,386.64x = 161,216,324.40
  5. Step 5: Solve for x
    x = 161,216,324.40/14,386.64
  6. Step 6: Final answer
    x = 11,205.97

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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.