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Finding the Fourth Proportional to 14,586.76, 21,890.70 and 5,824.18

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Solution

The fourth proportional to 14,586.76, 21,890.70 and 5,824.18 is: 8,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.76 : 21,890.70 = 5,824.18 : x
  2. Step 2: Convert to fraction form
    14,586.76/21,890.70 = 5,824.18/x
  3. Step 3: Cross multiply
    14,586.76x = 21,890.70 × 5,824.18
  4. Step 4: Simplify right side
    14,586.76x = 127,495,377.13
  5. Step 5: Solve for x
    x = 127,495,377.13/14,586.76
  6. Step 6: Final answer
    x = 8,740.49

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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.