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Finding the Fourth Proportional to 15,029.64, 22,535.10 and 6,709.32

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Solution

The fourth proportional to 15,029.64, 22,535.10 and 6,709.32 is: 10,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,029.64 : 22,535.10 = 6,709.32 : x
  2. Step 2: Convert to fraction form
    15,029.64/22,535.10 = 6,709.32/x
  3. Step 3: Cross multiply
    15,029.64x = 22,535.10 × 6,709.32
  4. Step 4: Simplify right side
    15,029.64x = 151,195,197.13
  5. Step 5: Solve for x
    x = 151,195,197.13/15,029.64
  6. Step 6: Final answer
    x = 10,059.80

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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.