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Finding the Fourth Proportional to 12,823.07, 17,695.76 and 7,157.49

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Solution

The fourth proportional to 12,823.07, 17,695.76 and 7,157.49 is: 9,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.07 : 17,695.76 = 7,157.49 : x
  2. Step 2: Convert to fraction form
    12,823.07/17,695.76 = 7,157.49/x
  3. Step 3: Cross multiply
    12,823.07x = 17,695.76 × 7,157.49
  4. Step 4: Simplify right side
    12,823.07x = 126,657,136.76
  5. Step 5: Solve for x
    x = 126,657,136.76/12,823.07
  6. Step 6: Final answer
    x = 9,877.29

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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.