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Finding the Fourth Proportional to 15,896.77, 23,845.13 and 4,210.00

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Solution

The fourth proportional to 15,896.77, 23,845.13 and 4,210.00 is: 6,314.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.77 : 23,845.13 = 4,210.00 : x
  2. Step 2: Convert to fraction form
    15,896.77/23,845.13 = 4,210.00/x
  3. Step 3: Cross multiply
    15,896.77x = 23,845.13 × 4,210.00
  4. Step 4: Simplify right side
    15,896.77x = 100,387,878.07
  5. Step 5: Solve for x
    x = 100,387,878.07/15,896.77
  6. Step 6: Final answer
    x = 6,314.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.