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Finding the Fourth Proportional to 25,280.46, 37,894.01 and 9,475.16

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Solution

The fourth proportional to 25,280.46, 37,894.01 and 9,475.16 is: 14,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.46 : 37,894.01 = 9,475.16 : x
  2. Step 2: Convert to fraction form
    25,280.46/37,894.01 = 9,475.16/x
  3. Step 3: Cross multiply
    25,280.46x = 37,894.01 × 9,475.16
  4. Step 4: Simplify right side
    25,280.46x = 359,051,570.95
  5. Step 5: Solve for x
    x = 359,051,570.95/25,280.46
  6. Step 6: Final answer
    x = 14,202.73

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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.