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Finding the Fourth Proportional to 14,125.72, 19,477.54 and 11,565.49

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Solution

The fourth proportional to 14,125.72, 19,477.54 and 11,565.49 is: 15,947.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,125.72 : 19,477.54 = 11,565.49 : x
  2. Step 2: Convert to fraction form
    14,125.72/19,477.54 = 11,565.49/x
  3. Step 3: Cross multiply
    14,125.72x = 19,477.54 × 11,565.49
  4. Step 4: Simplify right side
    14,125.72x = 225,267,294.09
  5. Step 5: Solve for x
    x = 225,267,294.09/14,125.72
  6. Step 6: Final answer
    x = 15,947.31

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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.