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Finding the Fourth Proportional to 10,019.07, 15,028.74 and 9,410.22

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Solution

The fourth proportional to 10,019.07, 15,028.74 and 9,410.22 is: 14,115.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.07 : 15,028.74 = 9,410.22 : x
  2. Step 2: Convert to fraction form
    10,019.07/15,028.74 = 9,410.22/x
  3. Step 3: Cross multiply
    10,019.07x = 15,028.74 × 9,410.22
  4. Step 4: Simplify right side
    10,019.07x = 141,423,749.72
  5. Step 5: Solve for x
    x = 141,423,749.72/10,019.07
  6. Step 6: Final answer
    x = 14,115.46

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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.