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Finding the Fourth Proportional to 24,506.30, 36,741.45 and 9,707.90

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Solution

The fourth proportional to 24,506.30, 36,741.45 and 9,707.90 is: 14,554.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.30 : 36,741.45 = 9,707.90 : x
  2. Step 2: Convert to fraction form
    24,506.30/36,741.45 = 9,707.90/x
  3. Step 3: Cross multiply
    24,506.30x = 36,741.45 × 9,707.90
  4. Step 4: Simplify right side
    24,506.30x = 356,682,322.46
  5. Step 5: Solve for x
    x = 356,682,322.46/24,506.30
  6. Step 6: Final answer
    x = 14,554.72

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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.