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Finding the Fourth Proportional to 19,716.64, 29,550.35 and 9,858.74

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Solution

The fourth proportional to 19,716.64, 29,550.35 and 9,858.74 is: 14,775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,716.64 : 29,550.35 = 9,858.74 : x
  2. Step 2: Convert to fraction form
    19,716.64/29,550.35 = 9,858.74/x
  3. Step 3: Cross multiply
    19,716.64x = 29,550.35 × 9,858.74
  4. Step 4: Simplify right side
    19,716.64x = 291,329,020.51
  5. Step 5: Solve for x
    x = 291,329,020.51/19,716.64
  6. Step 6: Final answer
    x = 14,775.80

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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.