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Finding the Fourth Proportional to 16,148.64, 24,225.84 and 5,054.88

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Solution

The fourth proportional to 16,148.64, 24,225.84 and 5,054.88 is: 7,583.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.64 : 24,225.84 = 5,054.88 : x
  2. Step 2: Convert to fraction form
    16,148.64/24,225.84 = 5,054.88/x
  3. Step 3: Cross multiply
    16,148.64x = 24,225.84 × 5,054.88
  4. Step 4: Simplify right side
    16,148.64x = 122,458,714.10
  5. Step 5: Solve for x
    x = 122,458,714.10/16,148.64
  6. Step 6: Final answer
    x = 7,583.22

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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.