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Finding the Fourth Proportional to 14,597.60, 21,868.50 and 9,652.64

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Solution

The fourth proportional to 14,597.60, 21,868.50 and 9,652.64 is: 14,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.60 : 21,868.50 = 9,652.64 : x
  2. Step 2: Convert to fraction form
    14,597.60/21,868.50 = 9,652.64/x
  3. Step 3: Cross multiply
    14,597.60x = 21,868.50 × 9,652.64
  4. Step 4: Simplify right side
    14,597.60x = 211,088,757.84
  5. Step 5: Solve for x
    x = 211,088,757.84/14,597.60
  6. Step 6: Final answer
    x = 14,460.51

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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.