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Finding the Fourth Proportional to 15,730.28, 23,595.50 and 6,965.28

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Solution

The fourth proportional to 15,730.28, 23,595.50 and 6,965.28 is: 10,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.28 : 23,595.50 = 6,965.28 : x
  2. Step 2: Convert to fraction form
    15,730.28/23,595.50 = 6,965.28/x
  3. Step 3: Cross multiply
    15,730.28x = 23,595.50 × 6,965.28
  4. Step 4: Simplify right side
    15,730.28x = 164,349,264.24
  5. Step 5: Solve for x
    x = 164,349,264.24/15,730.28
  6. Step 6: Final answer
    x = 10,447.96

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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.