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Finding the Fourth Proportional to 15,865.14, 23,798.02 and 6,009.06

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Solution

The fourth proportional to 15,865.14, 23,798.02 and 6,009.06 is: 9,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.14 : 23,798.02 = 6,009.06 : x
  2. Step 2: Convert to fraction form
    15,865.14/23,798.02 = 6,009.06/x
  3. Step 3: Cross multiply
    15,865.14x = 23,798.02 × 6,009.06
  4. Step 4: Simplify right side
    15,865.14x = 143,003,730.06
  5. Step 5: Solve for x
    x = 143,003,730.06/15,865.14
  6. Step 6: Final answer
    x = 9,013.71

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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.