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Finding the Fourth Proportional to 14,113.11, 19,475.28 and 7,738.47

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Solution

The fourth proportional to 14,113.11, 19,475.28 and 7,738.47 is: 10,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.11 : 19,475.28 = 7,738.47 : x
  2. Step 2: Convert to fraction form
    14,113.11/19,475.28 = 7,738.47/x
  3. Step 3: Cross multiply
    14,113.11x = 19,475.28 × 7,738.47
  4. Step 4: Simplify right side
    14,113.11x = 150,708,870.02
  5. Step 5: Solve for x
    x = 150,708,870.02/14,113.11
  6. Step 6: Final answer
    x = 10,678.64

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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.