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Finding the Fourth Proportional to 25,689.57, 38,533.77 and 11,838.57

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Solution

The fourth proportional to 25,689.57, 38,533.77 and 11,838.57 is: 17,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,689.57 : 38,533.77 = 11,838.57 : x
  2. Step 2: Convert to fraction form
    25,689.57/38,533.77 = 11,838.57/x
  3. Step 3: Cross multiply
    25,689.57x = 38,533.77 × 11,838.57
  4. Step 4: Simplify right side
    25,689.57x = 456,184,733.51
  5. Step 5: Solve for x
    x = 456,184,733.51/25,689.57
  6. Step 6: Final answer
    x = 17,757.59

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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.