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Finding the Fourth Proportional to 14,965.60, 22,454.88 and 8,032

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Solution

The fourth proportional to 14,965.60, 22,454.88 and 8,032 is: 12,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.60 : 22,454.88 = 8,032 : x
  2. Step 2: Convert to fraction form
    14,965.60/22,454.88 = 8,032/x
  3. Step 3: Cross multiply
    14,965.60x = 22,454.88 × 8,032
  4. Step 4: Simplify right side
    14,965.60x = 180,357,596.16
  5. Step 5: Solve for x
    x = 180,357,596.16/14,965.60
  6. Step 6: Final answer
    x = 12,051.48

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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.