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Finding the Fourth Proportional to 14,965.32, 22,435.74 and 6,195.48

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Solution

The fourth proportional to 14,965.32, 22,435.74 and 6,195.48 is: 9,288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,965.32 : 22,435.74 = 6,195.48 : x
  2. Step 2: Convert to fraction form
    14,965.32/22,435.74 = 6,195.48/x
  3. Step 3: Cross multiply
    14,965.32x = 22,435.74 × 6,195.48
  4. Step 4: Simplify right side
    14,965.32x = 139,000,178.46
  5. Step 5: Solve for x
    x = 139,000,178.46/14,965.32
  6. Step 6: Final answer
    x = 9,288.15

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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.