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Finding the Fourth Proportional to 17,820.64, 26,705.40 and 10,013.02

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Solution

The fourth proportional to 17,820.64, 26,705.40 and 10,013.02 is: 15,005.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.64 : 26,705.40 = 10,013.02 : x
  2. Step 2: Convert to fraction form
    17,820.64/26,705.40 = 10,013.02/x
  3. Step 3: Cross multiply
    17,820.64x = 26,705.40 × 10,013.02
  4. Step 4: Simplify right side
    17,820.64x = 267,401,704.31
  5. Step 5: Solve for x
    x = 267,401,704.31/17,820.64
  6. Step 6: Final answer
    x = 15,005.17

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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.