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Finding the Fourth Proportional to 12,509.30, 18,752.43 and 5,938.58

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Solution

The fourth proportional to 12,509.30, 18,752.43 and 5,938.58 is: 8,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.30 : 18,752.43 = 5,938.58 : x
  2. Step 2: Convert to fraction form
    12,509.30/18,752.43 = 5,938.58/x
  3. Step 3: Cross multiply
    12,509.30x = 18,752.43 × 5,938.58
  4. Step 4: Simplify right side
    12,509.30x = 111,362,805.75
  5. Step 5: Solve for x
    x = 111,362,805.75/12,509.30
  6. Step 6: Final answer
    x = 8,902.40

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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.