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Finding the Fourth Proportional to 24,305.72, 36,457.35 and 9,517.35

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Solution

The fourth proportional to 24,305.72, 36,457.35 and 9,517.35 is: 14,275.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305.72 : 36,457.35 = 9,517.35 : x
  2. Step 2: Convert to fraction form
    24,305.72/36,457.35 = 9,517.35/x
  3. Step 3: Cross multiply
    24,305.72x = 36,457.35 × 9,517.35
  4. Step 4: Simplify right side
    24,305.72x = 346,977,360.02
  5. Step 5: Solve for x
    x = 346,977,360.02/24,305.72
  6. Step 6: Final answer
    x = 14,275.55

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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.