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Finding the Fourth Proportional to 14,455.92, 21,649.23 and 7,417.41

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Solution

The fourth proportional to 14,455.92, 21,649.23 and 7,417.41 is: 11,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.92 : 21,649.23 = 7,417.41 : x
  2. Step 2: Convert to fraction form
    14,455.92/21,649.23 = 7,417.41/x
  3. Step 3: Cross multiply
    14,455.92x = 21,649.23 × 7,417.41
  4. Step 4: Simplify right side
    14,455.92x = 160,581,215.09
  5. Step 5: Solve for x
    x = 160,581,215.09/14,455.92
  6. Step 6: Final answer
    x = 11,108.34

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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.