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Finding the Fourth Proportional to 24,465.10, 36,700.35 and 7,822.30

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Solution

The fourth proportional to 24,465.10, 36,700.35 and 7,822.30 is: 11,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,465.10 : 36,700.35 = 7,822.30 : x
  2. Step 2: Convert to fraction form
    24,465.10/36,700.35 = 7,822.30/x
  3. Step 3: Cross multiply
    24,465.10x = 36,700.35 × 7,822.30
  4. Step 4: Simplify right side
    24,465.10x = 287,081,147.81
  5. Step 5: Solve for x
    x = 287,081,147.81/24,465.10
  6. Step 6: Final answer
    x = 11,734.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.