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Finding the Fourth Proportional to 12,914.24, 17,823.47 and 7,538.45

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Solution

The fourth proportional to 12,914.24, 17,823.47 and 7,538.45 is: 10,404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.24 : 17,823.47 = 7,538.45 : x
  2. Step 2: Convert to fraction form
    12,914.24/17,823.47 = 7,538.45/x
  3. Step 3: Cross multiply
    12,914.24x = 17,823.47 × 7,538.45
  4. Step 4: Simplify right side
    12,914.24x = 134,361,210.61
  5. Step 5: Solve for x
    x = 134,361,210.61/12,914.24
  6. Step 6: Final answer
    x = 10,404.12

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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.