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Finding the Fourth Proportional to 24,207.94, 36,312.93 and 7,568.28

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Solution

The fourth proportional to 24,207.94, 36,312.93 and 7,568.28 is: 11,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.94 : 36,312.93 = 7,568.28 : x
  2. Step 2: Convert to fraction form
    24,207.94/36,312.93 = 7,568.28/x
  3. Step 3: Cross multiply
    24,207.94x = 36,312.93 × 7,568.28
  4. Step 4: Simplify right side
    24,207.94x = 274,826,421.86
  5. Step 5: Solve for x
    x = 274,826,421.86/24,207.94
  6. Step 6: Final answer
    x = 11,352.74

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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.