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Finding the Fourth Proportional to 10,054.08, 14,999.49 and 9,509.76

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Solution

The fourth proportional to 10,054.08, 14,999.49 and 9,509.76 is: 14,187.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.08 : 14,999.49 = 9,509.76 : x
  2. Step 2: Convert to fraction form
    10,054.08/14,999.49 = 9,509.76/x
  3. Step 3: Cross multiply
    10,054.08x = 14,999.49 × 9,509.76
  4. Step 4: Simplify right side
    10,054.08x = 142,641,550.02
  5. Step 5: Solve for x
    x = 142,641,550.02/10,054.08
  6. Step 6: Final answer
    x = 14,187.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.