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Finding the Fourth Proportional to 25,705.96, 38,533.02 and 24,591.40

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Solution

The fourth proportional to 25,705.96, 38,533.02 and 24,591.40 is: 36,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.96 : 38,533.02 = 24,591.40 : x
  2. Step 2: Convert to fraction form
    25,705.96/38,533.02 = 24,591.40/x
  3. Step 3: Cross multiply
    25,705.96x = 38,533.02 × 24,591.40
  4. Step 4: Simplify right side
    25,705.96x = 947,580,908.03
  5. Step 5: Solve for x
    x = 947,580,908.03/25,705.96
  6. Step 6: Final answer
    x = 36,862.30

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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.