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Finding the Fourth Proportional to 27,048.48, 40,554.36 and 9,516

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Solution

The fourth proportional to 27,048.48, 40,554.36 and 9,516 is: 14,267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048.48 : 40,554.36 = 9,516 : x
  2. Step 2: Convert to fraction form
    27,048.48/40,554.36 = 9,516/x
  3. Step 3: Cross multiply
    27,048.48x = 40,554.36 × 9,516
  4. Step 4: Simplify right side
    27,048.48x = 385,915,289.76
  5. Step 5: Solve for x
    x = 385,915,289.76/27,048.48
  6. Step 6: Final answer
    x = 14,267.54

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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.