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Finding the Fourth Proportional to 14,030.76, 19,362.33 and 7,743

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Solution

The fourth proportional to 14,030.76, 19,362.33 and 7,743 is: 10,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030.76 : 19,362.33 = 7,743 : x
  2. Step 2: Convert to fraction form
    14,030.76/19,362.33 = 7,743/x
  3. Step 3: Cross multiply
    14,030.76x = 19,362.33 × 7,743
  4. Step 4: Simplify right side
    14,030.76x = 149,922,521.19
  5. Step 5: Solve for x
    x = 149,922,521.19/14,030.76
  6. Step 6: Final answer
    x = 10,685.27

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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.