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Finding the Fourth Proportional to 15,730.82, 21,709.13 and 9,017.75

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Solution

The fourth proportional to 15,730.82, 21,709.13 and 9,017.75 is: 12,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.82 : 21,709.13 = 9,017.75 : x
  2. Step 2: Convert to fraction form
    15,730.82/21,709.13 = 9,017.75/x
  3. Step 3: Cross multiply
    15,730.82x = 21,709.13 × 9,017.75
  4. Step 4: Simplify right side
    15,730.82x = 195,767,507.06
  5. Step 5: Solve for x
    x = 195,767,507.06/15,730.82
  6. Step 6: Final answer
    x = 12,444.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.