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Finding the Fourth Proportional to 14,682.32, 22,029.65 and 9,140.30

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Solution

The fourth proportional to 14,682.32, 22,029.65 and 9,140.30 is: 13,714.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.32 : 22,029.65 = 9,140.30 : x
  2. Step 2: Convert to fraction form
    14,682.32/22,029.65 = 9,140.30/x
  3. Step 3: Cross multiply
    14,682.32x = 22,029.65 × 9,140.30
  4. Step 4: Simplify right side
    14,682.32x = 201,357,454.05
  5. Step 5: Solve for x
    x = 201,357,454.05/14,682.32
  6. Step 6: Final answer
    x = 13,714.29

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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.