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Finding the Fourth Proportional to 23,320.71, 32,182.92 and 14,363.12

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Solution

The fourth proportional to 23,320.71, 32,182.92 and 14,363.12 is: 19,821.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,320.71 : 32,182.92 = 14,363.12 : x
  2. Step 2: Convert to fraction form
    23,320.71/32,182.92 = 14,363.12/x
  3. Step 3: Cross multiply
    23,320.71x = 32,182.92 × 14,363.12
  4. Step 4: Simplify right side
    23,320.71x = 462,247,222.37
  5. Step 5: Solve for x
    x = 462,247,222.37/23,320.71
  6. Step 6: Final answer
    x = 19,821.32

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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.