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Finding the Fourth Proportional to 14,332.32, 19,743.30 and 12,201.01

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Solution

The fourth proportional to 14,332.32, 19,743.30 and 12,201.01 is: 16,807.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,332.32 : 19,743.30 = 12,201.01 : x
  2. Step 2: Convert to fraction form
    14,332.32/19,743.30 = 12,201.01/x
  3. Step 3: Cross multiply
    14,332.32x = 19,743.30 × 12,201.01
  4. Step 4: Simplify right side
    14,332.32x = 240,888,151.37
  5. Step 5: Solve for x
    x = 240,888,151.37/14,332.32
  6. Step 6: Final answer
    x = 16,807.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.