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Finding the Fourth Proportional to 13,825.76, 19,079.55 and 7,538.14

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Solution

The fourth proportional to 13,825.76, 19,079.55 and 7,538.14 is: 10,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.76 : 19,079.55 = 7,538.14 : x
  2. Step 2: Convert to fraction form
    13,825.76/19,079.55 = 7,538.14/x
  3. Step 3: Cross multiply
    13,825.76x = 19,079.55 × 7,538.14
  4. Step 4: Simplify right side
    13,825.76x = 143,824,319.04
  5. Step 5: Solve for x
    x = 143,824,319.04/13,825.76
  6. Step 6: Final answer
    x = 10,402.63

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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.