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Finding the Fourth Proportional to 25,412.82, 38,112 and 16,038.81

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Solution

The fourth proportional to 25,412.82, 38,112 and 16,038.81 is: 24,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.82 : 38,112 = 16,038.81 : x
  2. Step 2: Convert to fraction form
    25,412.82/38,112 = 16,038.81/x
  3. Step 3: Cross multiply
    25,412.82x = 38,112 × 16,038.81
  4. Step 4: Simplify right side
    25,412.82x = 611,271,126.72
  5. Step 5: Solve for x
    x = 611,271,126.72/25,412.82
  6. Step 6: Final answer
    x = 24,053.65

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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.