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Finding the Fourth Proportional to 23,577.32, 32,535.50 and 12,964.90

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Solution

The fourth proportional to 23,577.32, 32,535.50 and 12,964.90 is: 17,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.32 : 32,535.50 = 12,964.90 : x
  2. Step 2: Convert to fraction form
    23,577.32/32,535.50 = 12,964.90/x
  3. Step 3: Cross multiply
    23,577.32x = 32,535.50 × 12,964.90
  4. Step 4: Simplify right side
    23,577.32x = 421,819,503.95
  5. Step 5: Solve for x
    x = 421,819,503.95/23,577.32
  6. Step 6: Final answer
    x = 17,890.90

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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.