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Finding the Fourth Proportional to 12,352.14, 18,526.23 and 4,032.09

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Solution

The fourth proportional to 12,352.14, 18,526.23 and 4,032.09 is: 6,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352.14 : 18,526.23 = 4,032.09 : x
  2. Step 2: Convert to fraction form
    12,352.14/18,526.23 = 4,032.09/x
  3. Step 3: Cross multiply
    12,352.14x = 18,526.23 × 4,032.09
  4. Step 4: Simplify right side
    12,352.14x = 74,699,426.72
  5. Step 5: Solve for x
    x = 74,699,426.72/12,352.14
  6. Step 6: Final answer
    x = 6,047.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.