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Finding the Fourth Proportional to 12,950.33, 17,870.76 and 7,643.21

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Solution

The fourth proportional to 12,950.33, 17,870.76 and 7,643.21 is: 10,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.33 : 17,870.76 = 7,643.21 : x
  2. Step 2: Convert to fraction form
    12,950.33/17,870.76 = 7,643.21/x
  3. Step 3: Cross multiply
    12,950.33x = 17,870.76 × 7,643.21
  4. Step 4: Simplify right side
    12,950.33x = 136,589,882.19
  5. Step 5: Solve for x
    x = 136,589,882.19/12,950.33
  6. Step 6: Final answer
    x = 10,547.22

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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.