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Finding the Fourth Proportional to 25,642.94, 38,533.68 and 24,199.52

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Solution

The fourth proportional to 25,642.94, 38,533.68 and 24,199.52 is: 36,364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.94 : 38,533.68 = 24,199.52 : x
  2. Step 2: Convert to fraction form
    25,642.94/38,533.68 = 24,199.52/x
  3. Step 3: Cross multiply
    25,642.94x = 38,533.68 × 24,199.52
  4. Step 4: Simplify right side
    25,642.94x = 932,496,559.83
  5. Step 5: Solve for x
    x = 932,496,559.83/25,642.94
  6. Step 6: Final answer
    x = 36,364.65

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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.