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Finding the Fourth Proportional to 23,624.72, 32,602.38 and 13,014.44

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Solution

The fourth proportional to 23,624.72, 32,602.38 and 13,014.44 is: 17,960.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.72 : 32,602.38 = 13,014.44 : x
  2. Step 2: Convert to fraction form
    23,624.72/32,602.38 = 13,014.44/x
  3. Step 3: Cross multiply
    23,624.72x = 32,602.38 × 13,014.44
  4. Step 4: Simplify right side
    23,624.72x = 424,301,718.37
  5. Step 5: Solve for x
    x = 424,301,718.37/23,624.72
  6. Step 6: Final answer
    x = 17,960.07

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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.