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Finding the Fourth Proportional to 16,146, 24,207.12 and 6,148.98

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Solution

The fourth proportional to 16,146, 24,207.12 and 6,148.98 is: 9,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146 : 24,207.12 = 6,148.98 : x
  2. Step 2: Convert to fraction form
    16,146/24,207.12 = 6,148.98/x
  3. Step 3: Cross multiply
    16,146x = 24,207.12 × 6,148.98
  4. Step 4: Simplify right side
    16,146x = 148,849,096.74
  5. Step 5: Solve for x
    x = 148,849,096.74/16,146
  6. Step 6: Final answer
    x = 9,218.95

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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.