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Finding the Fourth Proportional to 34,009.89, 51,014.95 and 10,317.63

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Solution

The fourth proportional to 34,009.89, 51,014.95 and 10,317.63 is: 15,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009.89 : 51,014.95 = 10,317.63 : x
  2. Step 2: Convert to fraction form
    34,009.89/51,014.95 = 10,317.63/x
  3. Step 3: Cross multiply
    34,009.89x = 51,014.95 × 10,317.63
  4. Step 4: Simplify right side
    34,009.89x = 526,353,378.57
  5. Step 5: Solve for x
    x = 526,353,378.57/34,009.89
  6. Step 6: Final answer
    x = 15,476.48

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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.