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Finding the Fourth Proportional to 17,870.16, 26,806.40 and 6,181.84

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Solution

The fourth proportional to 17,870.16, 26,806.40 and 6,181.84 is: 9,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.16 : 26,806.40 = 6,181.84 : x
  2. Step 2: Convert to fraction form
    17,870.16/26,806.40 = 6,181.84/x
  3. Step 3: Cross multiply
    17,870.16x = 26,806.40 × 6,181.84
  4. Step 4: Simplify right side
    17,870.16x = 165,712,875.78
  5. Step 5: Solve for x
    x = 165,712,875.78/17,870.16
  6. Step 6: Final answer
    x = 9,273.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.