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Finding the Fourth Proportional to 17,095.64, 25,646.02 and 6,000.37

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Solution

The fourth proportional to 17,095.64, 25,646.02 and 6,000.37 is: 9,001.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095.64 : 25,646.02 = 6,000.37 : x
  2. Step 2: Convert to fraction form
    17,095.64/25,646.02 = 6,000.37/x
  3. Step 3: Cross multiply
    17,095.64x = 25,646.02 × 6,000.37
  4. Step 4: Simplify right side
    17,095.64x = 153,885,529.91
  5. Step 5: Solve for x
    x = 153,885,529.91/17,095.64
  6. Step 6: Final answer
    x = 9,001.45

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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.