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Finding the Fourth Proportional to 13,939, 19,235.34 and 7,565.32

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Solution

The fourth proportional to 13,939, 19,235.34 and 7,565.32 is: 10,439.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939 : 19,235.34 = 7,565.32 : x
  2. Step 2: Convert to fraction form
    13,939/19,235.34 = 7,565.32/x
  3. Step 3: Cross multiply
    13,939x = 19,235.34 × 7,565.32
  4. Step 4: Simplify right side
    13,939x = 145,521,502.41
  5. Step 5: Solve for x
    x = 145,521,502.41/13,939
  6. Step 6: Final answer
    x = 10,439.88

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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.