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Finding the Fourth Proportional to 27,700.84, 41,588.05 and 12,920.10

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Solution

The fourth proportional to 27,700.84, 41,588.05 and 12,920.10 is: 19,397.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.84 : 41,588.05 = 12,920.10 : x
  2. Step 2: Convert to fraction form
    27,700.84/41,588.05 = 12,920.10/x
  3. Step 3: Cross multiply
    27,700.84x = 41,588.05 × 12,920.10
  4. Step 4: Simplify right side
    27,700.84x = 537,321,764.81
  5. Step 5: Solve for x
    x = 537,321,764.81/27,700.84
  6. Step 6: Final answer
    x = 19,397.31

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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.