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Finding the Fourth Proportional to 10,024.66, 13,824.57 and 7,478.04

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Solution

The fourth proportional to 10,024.66, 13,824.57 and 7,478.04 is: 10,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.66 : 13,824.57 = 7,478.04 : x
  2. Step 2: Convert to fraction form
    10,024.66/13,824.57 = 7,478.04/x
  3. Step 3: Cross multiply
    10,024.66x = 13,824.57 × 7,478.04
  4. Step 4: Simplify right side
    10,024.66x = 103,380,668.75
  5. Step 5: Solve for x
    x = 103,380,668.75/10,024.66
  6. Step 6: Final answer
    x = 10,312.64

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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.