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Finding the Fourth Proportional to 16,505.64, 24,767.28 and 7,740.63

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Solution

The fourth proportional to 16,505.64, 24,767.28 and 7,740.63 is: 11,615.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.64 : 24,767.28 = 7,740.63 : x
  2. Step 2: Convert to fraction form
    16,505.64/24,767.28 = 7,740.63/x
  3. Step 3: Cross multiply
    16,505.64x = 24,767.28 × 7,740.63
  4. Step 4: Simplify right side
    16,505.64x = 191,714,350.59
  5. Step 5: Solve for x
    x = 191,714,350.59/16,505.64
  6. Step 6: Final answer
    x = 11,615.08

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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.