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Finding the Fourth Proportional to 23,565.32, 35,346.15 and 13,698.30

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Solution

The fourth proportional to 23,565.32, 35,346.15 and 13,698.30 is: 20,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.32 : 35,346.15 = 13,698.30 : x
  2. Step 2: Convert to fraction form
    23,565.32/35,346.15 = 13,698.30/x
  3. Step 3: Cross multiply
    23,565.32x = 35,346.15 × 13,698.30
  4. Step 4: Simplify right side
    23,565.32x = 484,182,166.55
  5. Step 5: Solve for x
    x = 484,182,166.55/23,565.32
  6. Step 6: Final answer
    x = 20,546.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.