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Finding the Fourth Proportional to 15,646.54, 21,592.38 and 8,933.05

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Solution

The fourth proportional to 15,646.54, 21,592.38 and 8,933.05 is: 12,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,646.54 : 21,592.38 = 8,933.05 : x
  2. Step 2: Convert to fraction form
    15,646.54/21,592.38 = 8,933.05/x
  3. Step 3: Cross multiply
    15,646.54x = 21,592.38 × 8,933.05
  4. Step 4: Simplify right side
    15,646.54x = 192,885,810.16
  5. Step 5: Solve for x
    x = 192,885,810.16/15,646.54
  6. Step 6: Final answer
    x = 12,327.70

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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.