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Finding the Fourth Proportional to 12,421.71, 17,141.86 and 6,756.46

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Solution

The fourth proportional to 12,421.71, 17,141.86 and 6,756.46 is: 9,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.71 : 17,141.86 = 6,756.46 : x
  2. Step 2: Convert to fraction form
    12,421.71/17,141.86 = 6,756.46/x
  3. Step 3: Cross multiply
    12,421.71x = 17,141.86 × 6,756.46
  4. Step 4: Simplify right side
    12,421.71x = 115,818,291.42
  5. Step 5: Solve for x
    x = 115,818,291.42/12,421.71
  6. Step 6: Final answer
    x = 9,323.86

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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.