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Finding the Fourth Proportional to 25,536.72, 38,309.94 and 9,953.13

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Solution

The fourth proportional to 25,536.72, 38,309.94 and 9,953.13 is: 14,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.72 : 38,309.94 = 9,953.13 : x
  2. Step 2: Convert to fraction form
    25,536.72/38,309.94 = 9,953.13/x
  3. Step 3: Cross multiply
    25,536.72x = 38,309.94 × 9,953.13
  4. Step 4: Simplify right side
    25,536.72x = 381,303,813.11
  5. Step 5: Solve for x
    x = 381,303,813.11/25,536.72
  6. Step 6: Final answer
    x = 14,931.59

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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.