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Finding the Fourth Proportional to 23,287.50, 34,931.25 and 9,436.50

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Solution

The fourth proportional to 23,287.50, 34,931.25 and 9,436.50 is: 14,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.50 : 34,931.25 = 9,436.50 : x
  2. Step 2: Convert to fraction form
    23,287.50/34,931.25 = 9,436.50/x
  3. Step 3: Cross multiply
    23,287.50x = 34,931.25 × 9,436.50
  4. Step 4: Simplify right side
    23,287.50x = 329,628,740.63
  5. Step 5: Solve for x
    x = 329,628,740.63/23,287.50
  6. Step 6: Final answer
    x = 14,154.75

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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.