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Finding the Fourth Proportional to 24,407.42, 33,680.14 and 14,200.34

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Solution

The fourth proportional to 24,407.42, 33,680.14 and 14,200.34 is: 19,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.42 : 33,680.14 = 14,200.34 : x
  2. Step 2: Convert to fraction form
    24,407.42/33,680.14 = 14,200.34/x
  3. Step 3: Cross multiply
    24,407.42x = 33,680.14 × 14,200.34
  4. Step 4: Simplify right side
    24,407.42x = 478,269,235.35
  5. Step 5: Solve for x
    x = 478,269,235.35/24,407.42
  6. Step 6: Final answer
    x = 19,595.24

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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.