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Finding the Fourth Proportional to 27,038.56, 40,570.80 and 13,180

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Solution

The fourth proportional to 27,038.56, 40,570.80 and 13,180 is: 19,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.56 : 40,570.80 = 13,180 : x
  2. Step 2: Convert to fraction form
    27,038.56/40,570.80 = 13,180/x
  3. Step 3: Cross multiply
    27,038.56x = 40,570.80 × 13,180
  4. Step 4: Simplify right side
    27,038.56x = 534,723,144.00
  5. Step 5: Solve for x
    x = 534,723,144.00/27,038.56
  6. Step 6: Final answer
    x = 19,776.32

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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.