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Finding the Fourth Proportional to 25,782.32, 35,577 and 15,025.52

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Solution

The fourth proportional to 25,782.32, 35,577 and 15,025.52 is: 20,733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,782.32 : 35,577 = 15,025.52 : x
  2. Step 2: Convert to fraction form
    25,782.32/35,577 = 15,025.52/x
  3. Step 3: Cross multiply
    25,782.32x = 35,577 × 15,025.52
  4. Step 4: Simplify right side
    25,782.32x = 534,562,925.04
  5. Step 5: Solve for x
    x = 534,562,925.04/25,782.32
  6. Step 6: Final answer
    x = 20,733.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.