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Finding the Fourth Proportional to 23,545, 32,494.98 and 13,609

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Solution

The fourth proportional to 23,545, 32,494.98 and 13,609 is: 18,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,545 : 32,494.98 = 13,609 : x
  2. Step 2: Convert to fraction form
    23,545/32,494.98 = 13,609/x
  3. Step 3: Cross multiply
    23,545x = 32,494.98 × 13,609
  4. Step 4: Simplify right side
    23,545x = 442,224,182.82
  5. Step 5: Solve for x
    x = 442,224,182.82/23,545
  6. Step 6: Final answer
    x = 18,782.08

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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.