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Finding the Fourth Proportional to 27,405.84, 37,820.06 and 14,830.59

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Solution

The fourth proportional to 27,405.84, 37,820.06 and 14,830.59 is: 20,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.84 : 37,820.06 = 14,830.59 : x
  2. Step 2: Convert to fraction form
    27,405.84/37,820.06 = 14,830.59/x
  3. Step 3: Cross multiply
    27,405.84x = 37,820.06 × 14,830.59
  4. Step 4: Simplify right side
    27,405.84x = 560,894,010.34
  5. Step 5: Solve for x
    x = 560,894,010.34/27,405.84
  6. Step 6: Final answer
    x = 20,466.22

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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.