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Finding the Fourth Proportional to 14,232.84, 19,641.47 and 8,262.33

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Solution

The fourth proportional to 14,232.84, 19,641.47 and 8,262.33 is: 11,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.84 : 19,641.47 = 8,262.33 : x
  2. Step 2: Convert to fraction form
    14,232.84/19,641.47 = 8,262.33/x
  3. Step 3: Cross multiply
    14,232.84x = 19,641.47 × 8,262.33
  4. Step 4: Simplify right side
    14,232.84x = 162,284,265.51
  5. Step 5: Solve for x
    x = 162,284,265.51/14,232.84
  6. Step 6: Final answer
    x = 11,402.10

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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.