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Finding the Fourth Proportional to 14,434.66, 21,658.86 and 9,999.16

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Solution

The fourth proportional to 14,434.66, 21,658.86 and 9,999.16 is: 15,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,434.66 : 21,658.86 = 9,999.16 : x
  2. Step 2: Convert to fraction form
    14,434.66/21,658.86 = 9,999.16/x
  3. Step 3: Cross multiply
    14,434.66x = 21,658.86 × 9,999.16
  4. Step 4: Simplify right side
    14,434.66x = 216,570,406.56
  5. Step 5: Solve for x
    x = 216,570,406.56/14,434.66
  6. Step 6: Final answer
    x = 15,003.50

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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.