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Finding the Fourth Proportional to 15,737.50, 21,717.78 and 8,567.38

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Solution

The fourth proportional to 15,737.50, 21,717.78 and 8,567.38 is: 11,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.50 : 21,717.78 = 8,567.38 : x
  2. Step 2: Convert to fraction form
    15,737.50/21,717.78 = 8,567.38/x
  3. Step 3: Cross multiply
    15,737.50x = 21,717.78 × 8,567.38
  4. Step 4: Simplify right side
    15,737.50x = 186,064,474.02
  5. Step 5: Solve for x
    x = 186,064,474.02/15,737.50
  6. Step 6: Final answer
    x = 11,823.00

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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.