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Finding the Fourth Proportional to 13,238.64, 19,934.88 and 9,565.92

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Solution

The fourth proportional to 13,238.64, 19,934.88 and 9,565.92 is: 14,404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.64 : 19,934.88 = 9,565.92 : x
  2. Step 2: Convert to fraction form
    13,238.64/19,934.88 = 9,565.92/x
  3. Step 3: Cross multiply
    13,238.64x = 19,934.88 × 9,565.92
  4. Step 4: Simplify right side
    13,238.64x = 190,695,467.29
  5. Step 5: Solve for x
    x = 190,695,467.29/13,238.64
  6. Step 6: Final answer
    x = 14,404.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.