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Finding the Fourth Proportional to 26,115.60, 39,106.96 and 14,416

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Solution

The fourth proportional to 26,115.60, 39,106.96 and 14,416 is: 21,587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,115.60 : 39,106.96 = 14,416 : x
  2. Step 2: Convert to fraction form
    26,115.60/39,106.96 = 14,416/x
  3. Step 3: Cross multiply
    26,115.60x = 39,106.96 × 14,416
  4. Step 4: Simplify right side
    26,115.60x = 563,765,935.36
  5. Step 5: Solve for x
    x = 563,765,935.36/26,115.60
  6. Step 6: Final answer
    x = 21,587.32

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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.