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Finding the Fourth Proportional to 14,364, 19,817.46 and 9,060.12

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Solution

The fourth proportional to 14,364, 19,817.46 and 9,060.12 is: 12,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364 : 19,817.46 = 9,060.12 : x
  2. Step 2: Convert to fraction form
    14,364/19,817.46 = 9,060.12/x
  3. Step 3: Cross multiply
    14,364x = 19,817.46 × 9,060.12
  4. Step 4: Simplify right side
    14,364x = 179,548,565.70
  5. Step 5: Solve for x
    x = 179,548,565.70/14,364
  6. Step 6: Final answer
    x = 12,499.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.