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Finding the Fourth Proportional to 13,475.69, 18,461.77 and 12,970.65

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Solution

The fourth proportional to 13,475.69, 18,461.77 and 12,970.65 is: 17,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.69 : 18,461.77 = 12,970.65 : x
  2. Step 2: Convert to fraction form
    13,475.69/18,461.77 = 12,970.65/x
  3. Step 3: Cross multiply
    13,475.69x = 18,461.77 × 12,970.65
  4. Step 4: Simplify right side
    13,475.69x = 239,461,193.86
  5. Step 5: Solve for x
    x = 239,461,193.86/13,475.69
  6. Step 6: Final answer
    x = 17,769.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.