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Finding the Fourth Proportional to 17,870.02, 26,808.06 and 6,180.50

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Solution

The fourth proportional to 17,870.02, 26,808.06 and 6,180.50 is: 9,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.02 : 26,808.06 = 6,180.50 : x
  2. Step 2: Convert to fraction form
    17,870.02/26,808.06 = 6,180.50/x
  3. Step 3: Cross multiply
    17,870.02x = 26,808.06 × 6,180.50
  4. Step 4: Simplify right side
    17,870.02x = 165,687,214.83
  5. Step 5: Solve for x
    x = 165,687,214.83/17,870.02
  6. Step 6: Final answer
    x = 9,271.80

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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.