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Finding the Fourth Proportional to 27,142.58, 37,457.50 and 15,205.66

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Solution

The fourth proportional to 27,142.58, 37,457.50 and 15,205.66 is: 20,984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,142.58 : 37,457.50 = 15,205.66 : x
  2. Step 2: Convert to fraction form
    27,142.58/37,457.50 = 15,205.66/x
  3. Step 3: Cross multiply
    27,142.58x = 37,457.50 × 15,205.66
  4. Step 4: Simplify right side
    27,142.58x = 569,566,075.28
  5. Step 5: Solve for x
    x = 569,566,075.28/27,142.58
  6. Step 6: Final answer
    x = 20,984.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.