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Finding the Fourth Proportional to 24,515.49, 33,830.36 and 13,907.13

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Solution

The fourth proportional to 24,515.49, 33,830.36 and 13,907.13 is: 19,191.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.49 : 33,830.36 = 13,907.13 : x
  2. Step 2: Convert to fraction form
    24,515.49/33,830.36 = 13,907.13/x
  3. Step 3: Cross multiply
    24,515.49x = 33,830.36 × 13,907.13
  4. Step 4: Simplify right side
    24,515.49x = 470,483,070.22
  5. Step 5: Solve for x
    x = 470,483,070.22/24,515.49
  6. Step 6: Final answer
    x = 19,191.25

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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.