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Finding the Fourth Proportional to 27,401.75, 37,814.46 and 15,302.17

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Solution

The fourth proportional to 27,401.75, 37,814.46 and 15,302.17 is: 21,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,401.75 : 37,814.46 = 15,302.17 : x
  2. Step 2: Convert to fraction form
    27,401.75/37,814.46 = 15,302.17/x
  3. Step 3: Cross multiply
    27,401.75x = 37,814.46 × 15,302.17
  4. Step 4: Simplify right side
    27,401.75x = 578,643,106.31
  5. Step 5: Solve for x
    x = 578,643,106.31/27,401.75
  6. Step 6: Final answer
    x = 21,117.02

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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.