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Finding the Fourth Proportional to 15,440.64, 23,129.94 and 7,109.10

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Solution

The fourth proportional to 15,440.64, 23,129.94 and 7,109.10 is: 10,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,440.64 : 23,129.94 = 7,109.10 : x
  2. Step 2: Convert to fraction form
    15,440.64/23,129.94 = 7,109.10/x
  3. Step 3: Cross multiply
    15,440.64x = 23,129.94 × 7,109.10
  4. Step 4: Simplify right side
    15,440.64x = 164,433,056.45
  5. Step 5: Solve for x
    x = 164,433,056.45/15,440.64
  6. Step 6: Final answer
    x = 10,649.37

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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.