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Finding the Fourth Proportional to 24,308.10, 33,543.98 and 13,698.42

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Solution

The fourth proportional to 24,308.10, 33,543.98 and 13,698.42 is: 18,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,308.10 : 33,543.98 = 13,698.42 : x
  2. Step 2: Convert to fraction form
    24,308.10/33,543.98 = 13,698.42/x
  3. Step 3: Cross multiply
    24,308.10x = 33,543.98 × 13,698.42
  4. Step 4: Simplify right side
    24,308.10x = 459,499,458.02
  5. Step 5: Solve for x
    x = 459,499,458.02/24,308.10
  6. Step 6: Final answer
    x = 18,903.14

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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.