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Finding the Fourth Proportional to 27,205.58, 40,830.24 and 14,061.80

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Solution

The fourth proportional to 27,205.58, 40,830.24 and 14,061.80 is: 21,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.58 : 40,830.24 = 14,061.80 : x
  2. Step 2: Convert to fraction form
    27,205.58/40,830.24 = 14,061.80/x
  3. Step 3: Cross multiply
    27,205.58x = 40,830.24 × 14,061.80
  4. Step 4: Simplify right side
    27,205.58x = 574,146,668.83
  5. Step 5: Solve for x
    x = 574,146,668.83/27,205.58
  6. Step 6: Final answer
    x = 21,104.00

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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.