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Finding the Fourth Proportional to 17,381.48, 26,076 and 6,287.00

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Solution

The fourth proportional to 17,381.48, 26,076 and 6,287.00 is: 9,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.48 : 26,076 = 6,287.00 : x
  2. Step 2: Convert to fraction form
    17,381.48/26,076 = 6,287.00/x
  3. Step 3: Cross multiply
    17,381.48x = 26,076 × 6,287.00
  4. Step 4: Simplify right side
    17,381.48x = 163,939,681.62
  5. Step 5: Solve for x
    x = 163,939,681.62/17,381.48
  6. Step 6: Final answer
    x = 9,431.86

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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.