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Finding the Fourth Proportional to 26,358.77, 39,532.68 and 9,714.48

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Solution

The fourth proportional to 26,358.77, 39,532.68 and 9,714.48 is: 14,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358.77 : 39,532.68 = 9,714.48 : x
  2. Step 2: Convert to fraction form
    26,358.77/39,532.68 = 9,714.48/x
  3. Step 3: Cross multiply
    26,358.77x = 39,532.68 × 9,714.48
  4. Step 4: Simplify right side
    26,358.77x = 384,039,429.21
  5. Step 5: Solve for x
    x = 384,039,429.21/26,358.77
  6. Step 6: Final answer
    x = 14,569.70

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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.