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Finding the Fourth Proportional to 16,148.16, 24,174.48 and 14,458.80

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Solution

The fourth proportional to 16,148.16, 24,174.48 and 14,458.80 is: 21,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.16 : 24,174.48 = 14,458.80 : x
  2. Step 2: Convert to fraction form
    16,148.16/24,174.48 = 14,458.80/x
  3. Step 3: Cross multiply
    16,148.16x = 24,174.48 × 14,458.80
  4. Step 4: Simplify right side
    16,148.16x = 349,533,971.42
  5. Step 5: Solve for x
    x = 349,533,971.42/16,148.16
  6. Step 6: Final answer
    x = 21,645.44

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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.