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Finding the Fourth Proportional to 27,509.10, 41,257 and 12,703.78

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Solution

The fourth proportional to 27,509.10, 41,257 and 12,703.78 is: 19,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.10 : 41,257 = 12,703.78 : x
  2. Step 2: Convert to fraction form
    27,509.10/41,257 = 12,703.78/x
  3. Step 3: Cross multiply
    27,509.10x = 41,257 × 12,703.78
  4. Step 4: Simplify right side
    27,509.10x = 524,119,851.46
  5. Step 5: Solve for x
    x = 524,119,851.46/27,509.10
  6. Step 6: Final answer
    x = 19,052.60

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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.