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Finding the Fourth Proportional to 17,808.18, 26,714.70 and 7,417.50

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Solution

The fourth proportional to 17,808.18, 26,714.70 and 7,417.50 is: 11,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.18 : 26,714.70 = 7,417.50 : x
  2. Step 2: Convert to fraction form
    17,808.18/26,714.70 = 7,417.50/x
  3. Step 3: Cross multiply
    17,808.18x = 26,714.70 × 7,417.50
  4. Step 4: Simplify right side
    17,808.18x = 198,156,287.25
  5. Step 5: Solve for x
    x = 198,156,287.25/17,808.18
  6. Step 6: Final answer
    x = 11,127.26

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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.