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Finding the Fourth Proportional to 16,487.64, 24,740.28 and 7,722.63

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Solution

The fourth proportional to 16,487.64, 24,740.28 and 7,722.63 is: 11,588.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.64 : 24,740.28 = 7,722.63 : x
  2. Step 2: Convert to fraction form
    16,487.64/24,740.28 = 7,722.63/x
  3. Step 3: Cross multiply
    16,487.64x = 24,740.28 × 7,722.63
  4. Step 4: Simplify right side
    16,487.64x = 191,060,028.54
  5. Step 5: Solve for x
    x = 191,060,028.54/16,487.64
  6. Step 6: Final answer
    x = 11,588.08

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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.