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Finding the Fourth Proportional to 27,706.84, 41,587.98 and 14,586.88

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Solution

The fourth proportional to 27,706.84, 41,587.98 and 14,586.88 is: 21,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.84 : 41,587.98 = 14,586.88 : x
  2. Step 2: Convert to fraction form
    27,706.84/41,587.98 = 14,586.88/x
  3. Step 3: Cross multiply
    27,706.84x = 41,587.98 × 14,586.88
  4. Step 4: Simplify right side
    27,706.84x = 606,638,873.70
  5. Step 5: Solve for x
    x = 606,638,873.70/27,706.84
  6. Step 6: Final answer
    x = 21,894.91

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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.