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Finding the Fourth Proportional to 23,345.68, 32,219.73 and 12,998.47

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Solution

The fourth proportional to 23,345.68, 32,219.73 and 12,998.47 is: 17,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,345.68 : 32,219.73 = 12,998.47 : x
  2. Step 2: Convert to fraction form
    23,345.68/32,219.73 = 12,998.47/x
  3. Step 3: Cross multiply
    23,345.68x = 32,219.73 × 12,998.47
  4. Step 4: Simplify right side
    23,345.68x = 418,807,193.81
  5. Step 5: Solve for x
    x = 418,807,193.81/23,345.68
  6. Step 6: Final answer
    x = 17,939.39

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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.