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Finding the Fourth Proportional to 14,302.97, 19,737.02 and 8,014.13

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Solution

The fourth proportional to 14,302.97, 19,737.02 and 8,014.13 is: 11,058.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.97 : 19,737.02 = 8,014.13 : x
  2. Step 2: Convert to fraction form
    14,302.97/19,737.02 = 8,014.13/x
  3. Step 3: Cross multiply
    14,302.97x = 19,737.02 × 8,014.13
  4. Step 4: Simplify right side
    14,302.97x = 158,174,905.34
  5. Step 5: Solve for x
    x = 158,174,905.34/14,302.97
  6. Step 6: Final answer
    x = 11,058.89

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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.