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Finding the Fourth Proportional to 14,637.69, 21,959.82 and 6,842.25

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Solution

The fourth proportional to 14,637.69, 21,959.82 and 6,842.25 is: 10,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.69 : 21,959.82 = 6,842.25 : x
  2. Step 2: Convert to fraction form
    14,637.69/21,959.82 = 6,842.25/x
  3. Step 3: Cross multiply
    14,637.69x = 21,959.82 × 6,842.25
  4. Step 4: Simplify right side
    14,637.69x = 150,254,578.40
  5. Step 5: Solve for x
    x = 150,254,578.40/14,637.69
  6. Step 6: Final answer
    x = 10,264.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.