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Finding the Fourth Proportional to 15,946.50, 23,923.59 and 5,002.50

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Solution

The fourth proportional to 15,946.50, 23,923.59 and 5,002.50 is: 7,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.50 : 23,923.59 = 5,002.50 : x
  2. Step 2: Convert to fraction form
    15,946.50/23,923.59 = 5,002.50/x
  3. Step 3: Cross multiply
    15,946.50x = 23,923.59 × 5,002.50
  4. Step 4: Simplify right side
    15,946.50x = 119,677,758.98
  5. Step 5: Solve for x
    x = 119,677,758.98/15,946.50
  6. Step 6: Final answer
    x = 7,504.95

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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.