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Finding the Fourth Proportional to 30,691.68, 42,357.28 and 18,114.08

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Solution

The fourth proportional to 30,691.68, 42,357.28 and 18,114.08 is: 24,999.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,691.68 : 42,357.28 = 18,114.08 : x
  2. Step 2: Convert to fraction form
    30,691.68/42,357.28 = 18,114.08/x
  3. Step 3: Cross multiply
    30,691.68x = 42,357.28 × 18,114.08
  4. Step 4: Simplify right side
    30,691.68x = 767,263,158.50
  5. Step 5: Solve for x
    x = 767,263,158.50/30,691.68
  6. Step 6: Final answer
    x = 24,999.06

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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.