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Finding the Fourth Proportional to 14,152.38, 19,530.09 and 7,864.62

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Solution

The fourth proportional to 14,152.38, 19,530.09 and 7,864.62 is: 10,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.38 : 19,530.09 = 7,864.62 : x
  2. Step 2: Convert to fraction form
    14,152.38/19,530.09 = 7,864.62/x
  3. Step 3: Cross multiply
    14,152.38x = 19,530.09 × 7,864.62
  4. Step 4: Simplify right side
    14,152.38x = 153,596,736.42
  5. Step 5: Solve for x
    x = 153,596,736.42/14,152.38
  6. Step 6: Final answer
    x = 10,853.07

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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.