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Finding the Fourth Proportional to 27,776.66, 41,664.98 and 7,000.16

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Solution

The fourth proportional to 27,776.66, 41,664.98 and 7,000.16 is: 10,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.66 : 41,664.98 = 7,000.16 : x
  2. Step 2: Convert to fraction form
    27,776.66/41,664.98 = 7,000.16/x
  3. Step 3: Cross multiply
    27,776.66x = 41,664.98 × 7,000.16
  4. Step 4: Simplify right side
    27,776.66x = 291,661,526.40
  5. Step 5: Solve for x
    x = 291,661,526.40/27,776.66
  6. Step 6: Final answer
    x = 10,500.24

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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.