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Finding the Fourth Proportional to 12,341.80, 18,511.54 and 3,457.93

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Solution

The fourth proportional to 12,341.80, 18,511.54 and 3,457.93 is: 5,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341.80 : 18,511.54 = 3,457.93 : x
  2. Step 2: Convert to fraction form
    12,341.80/18,511.54 = 3,457.93/x
  3. Step 3: Cross multiply
    12,341.80x = 18,511.54 × 3,457.93
  4. Step 4: Simplify right side
    12,341.80x = 64,011,609.51
  5. Step 5: Solve for x
    x = 64,011,609.51/12,341.80
  6. Step 6: Final answer
    x = 5,186.57

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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.