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Finding the Fourth Proportional to 23,415.66, 32,313.30 and 13,344.69

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Solution

The fourth proportional to 23,415.66, 32,313.30 and 13,344.69 is: 18,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.66 : 32,313.30 = 13,344.69 : x
  2. Step 2: Convert to fraction form
    23,415.66/32,313.30 = 13,344.69/x
  3. Step 3: Cross multiply
    23,415.66x = 32,313.30 × 13,344.69
  4. Step 4: Simplify right side
    23,415.66x = 431,210,971.38
  5. Step 5: Solve for x
    x = 431,210,971.38/23,415.66
  6. Step 6: Final answer
    x = 18,415.50

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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.