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Finding the Fourth Proportional to 13,457.43, 18,566.69 and 7,790.67

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Solution

The fourth proportional to 13,457.43, 18,566.69 and 7,790.67 is: 10,748.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.43 : 18,566.69 = 7,790.67 : x
  2. Step 2: Convert to fraction form
    13,457.43/18,566.69 = 7,790.67/x
  3. Step 3: Cross multiply
    13,457.43x = 18,566.69 × 7,790.67
  4. Step 4: Simplify right side
    13,457.43x = 144,646,915.83
  5. Step 5: Solve for x
    x = 144,646,915.83/13,457.43
  6. Step 6: Final answer
    x = 10,748.48

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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.