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Finding the Fourth Proportional to 14,283.90, 19,685.07 and 10,298.22

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Solution

The fourth proportional to 14,283.90, 19,685.07 and 10,298.22 is: 14,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.90 : 19,685.07 = 10,298.22 : x
  2. Step 2: Convert to fraction form
    14,283.90/19,685.07 = 10,298.22/x
  3. Step 3: Cross multiply
    14,283.90x = 19,685.07 × 10,298.22
  4. Step 4: Simplify right side
    14,283.90x = 202,721,181.58
  5. Step 5: Solve for x
    x = 202,721,181.58/14,283.90
  6. Step 6: Final answer
    x = 14,192.29

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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.