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Finding the Fourth Proportional to 35,774.64, 53,686.62 and 14,716.08

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Solution

The fourth proportional to 35,774.64, 53,686.62 and 14,716.08 is: 22,084.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,774.64 : 53,686.62 = 14,716.08 : x
  2. Step 2: Convert to fraction form
    35,774.64/53,686.62 = 14,716.08/x
  3. Step 3: Cross multiply
    35,774.64x = 53,686.62 × 14,716.08
  4. Step 4: Simplify right side
    35,774.64x = 790,056,594.85
  5. Step 5: Solve for x
    x = 790,056,594.85/35,774.64
  6. Step 6: Final answer
    x = 22,084.26

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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.