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Finding the Fourth Proportional to 14,283.29, 21,322.73 and 12,415.48

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Solution

The fourth proportional to 14,283.29, 21,322.73 and 12,415.48 is: 18,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283.29 : 21,322.73 = 12,415.48 : x
  2. Step 2: Convert to fraction form
    14,283.29/21,322.73 = 12,415.48/x
  3. Step 3: Cross multiply
    14,283.29x = 21,322.73 × 12,415.48
  4. Step 4: Simplify right side
    14,283.29x = 264,731,905.59
  5. Step 5: Solve for x
    x = 264,731,905.59/14,283.29
  6. Step 6: Final answer
    x = 18,534.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.