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Finding the Fourth Proportional to 12,658.68, 18,973.26 and 9,528.66

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Solution

The fourth proportional to 12,658.68, 18,973.26 and 9,528.66 is: 14,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.68 : 18,973.26 = 9,528.66 : x
  2. Step 2: Convert to fraction form
    12,658.68/18,973.26 = 9,528.66/x
  3. Step 3: Cross multiply
    12,658.68x = 18,973.26 × 9,528.66
  4. Step 4: Simplify right side
    12,658.68x = 180,789,743.63
  5. Step 5: Solve for x
    x = 180,789,743.63/12,658.68
  6. Step 6: Final answer
    x = 14,281.88

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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.