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Finding the Fourth Proportional to 15,852, 21,876.88 and 9,564

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Solution

The fourth proportional to 15,852, 21,876.88 and 9,564 is: 13,199.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852 : 21,876.88 = 9,564 : x
  2. Step 2: Convert to fraction form
    15,852/21,876.88 = 9,564/x
  3. Step 3: Cross multiply
    15,852x = 21,876.88 × 9,564
  4. Step 4: Simplify right side
    15,852x = 209,230,480.32
  5. Step 5: Solve for x
    x = 209,230,480.32/15,852
  6. Step 6: Final answer
    x = 13,199.00

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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.