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Finding the Fourth Proportional to 15,689, 23,535.70 and 4,596.48

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Solution

The fourth proportional to 15,689, 23,535.70 and 4,596.48 is: 6,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689 : 23,535.70 = 4,596.48 : x
  2. Step 2: Convert to fraction form
    15,689/23,535.70 = 4,596.48/x
  3. Step 3: Cross multiply
    15,689x = 23,535.70 × 4,596.48
  4. Step 4: Simplify right side
    15,689x = 108,181,374.34
  5. Step 5: Solve for x
    x = 108,181,374.34/15,689
  6. Step 6: Final answer
    x = 6,895.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.