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Finding the Fourth Proportional to 13,374.83, 18,457.21 and 7,406.89

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Solution

The fourth proportional to 13,374.83, 18,457.21 and 7,406.89 is: 10,221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.83 : 18,457.21 = 7,406.89 : x
  2. Step 2: Convert to fraction form
    13,374.83/18,457.21 = 7,406.89/x
  3. Step 3: Cross multiply
    13,374.83x = 18,457.21 × 7,406.89
  4. Step 4: Simplify right side
    13,374.83x = 136,710,524.18
  5. Step 5: Solve for x
    x = 136,710,524.18/13,374.83
  6. Step 6: Final answer
    x = 10,221.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.