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Finding the Fourth Proportional to 25,084.62, 37,637.73 and 9,506.70

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Solution

The fourth proportional to 25,084.62, 37,637.73 and 9,506.70 is: 14,264.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,084.62 : 37,637.73 = 9,506.70 : x
  2. Step 2: Convert to fraction form
    25,084.62/37,637.73 = 9,506.70/x
  3. Step 3: Cross multiply
    25,084.62x = 37,637.73 × 9,506.70
  4. Step 4: Simplify right side
    25,084.62x = 357,810,607.79
  5. Step 5: Solve for x
    x = 357,810,607.79/25,084.62
  6. Step 6: Final answer
    x = 14,264.14

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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.