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Finding the Fourth Proportional to 24,109.40, 33,270 and 14,038.14

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Solution

The fourth proportional to 24,109.40, 33,270 and 14,038.14 is: 19,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.40 : 33,270 = 14,038.14 : x
  2. Step 2: Convert to fraction form
    24,109.40/33,270 = 14,038.14/x
  3. Step 3: Cross multiply
    24,109.40x = 33,270 × 14,038.14
  4. Step 4: Simplify right side
    24,109.40x = 467,048,917.80
  5. Step 5: Solve for x
    x = 467,048,917.80/24,109.40
  6. Step 6: Final answer
    x = 19,372.07

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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.