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Finding the Fourth Proportional to 30,774.84, 42,454.08 and 19,287.66

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Solution

The fourth proportional to 30,774.84, 42,454.08 and 19,287.66 is: 26,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774.84 : 42,454.08 = 19,287.66 : x
  2. Step 2: Convert to fraction form
    30,774.84/42,454.08 = 19,287.66/x
  3. Step 3: Cross multiply
    30,774.84x = 42,454.08 × 19,287.66
  4. Step 4: Simplify right side
    30,774.84x = 818,839,860.65
  5. Step 5: Solve for x
    x = 818,839,860.65/30,774.84
  6. Step 6: Final answer
    x = 26,607.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.