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Finding the Fourth Proportional to 16,148, 24,219.20 and 4,458.08

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Solution

The fourth proportional to 16,148, 24,219.20 and 4,458.08 is: 6,686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148 : 24,219.20 = 4,458.08 : x
  2. Step 2: Convert to fraction form
    16,148/24,219.20 = 4,458.08/x
  3. Step 3: Cross multiply
    16,148x = 24,219.20 × 4,458.08
  4. Step 4: Simplify right side
    16,148x = 107,971,131.14
  5. Step 5: Solve for x
    x = 107,971,131.14/16,148
  6. Step 6: Final answer
    x = 6,686.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.