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Finding the Fourth Proportional to 23,852.56, 32,909.88 and 14,909.17

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Solution

The fourth proportional to 23,852.56, 32,909.88 and 14,909.17 is: 20,570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.56 : 32,909.88 = 14,909.17 : x
  2. Step 2: Convert to fraction form
    23,852.56/32,909.88 = 14,909.17/x
  3. Step 3: Cross multiply
    23,852.56x = 32,909.88 × 14,909.17
  4. Step 4: Simplify right side
    23,852.56x = 490,658,995.60
  5. Step 5: Solve for x
    x = 490,658,995.60/23,852.56
  6. Step 6: Final answer
    x = 20,570.50

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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.