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Finding the Fourth Proportional to 15,786.72, 21,877.80 and 15,564

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Solution

The fourth proportional to 15,786.72, 21,877.80 and 15,564 is: 21,569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.72 : 21,877.80 = 15,564 : x
  2. Step 2: Convert to fraction form
    15,786.72/21,877.80 = 15,564/x
  3. Step 3: Cross multiply
    15,786.72x = 21,877.80 × 15,564
  4. Step 4: Simplify right side
    15,786.72x = 340,506,079.20
  5. Step 5: Solve for x
    x = 340,506,079.20/15,786.72
  6. Step 6: Final answer
    x = 21,569.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.