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Finding the Fourth Proportional to 13,457.40, 18,580.35 and 8,423.65

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Solution

The fourth proportional to 13,457.40, 18,580.35 and 8,423.65 is: 11,630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,457.40 : 18,580.35 = 8,423.65 : x
  2. Step 2: Convert to fraction form
    13,457.40/18,580.35 = 8,423.65/x
  3. Step 3: Cross multiply
    13,457.40x = 18,580.35 × 8,423.65
  4. Step 4: Simplify right side
    13,457.40x = 156,514,365.28
  5. Step 5: Solve for x
    x = 156,514,365.28/13,457.40
  6. Step 6: Final answer
    x = 11,630.36

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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.