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Finding the Fourth Proportional to 14,403.78, 19,877.58 and 8,737.80

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Solution

The fourth proportional to 14,403.78, 19,877.58 and 8,737.80 is: 12,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,403.78 : 19,877.58 = 8,737.80 : x
  2. Step 2: Convert to fraction form
    14,403.78/19,877.58 = 8,737.80/x
  3. Step 3: Cross multiply
    14,403.78x = 19,877.58 × 8,737.80
  4. Step 4: Simplify right side
    14,403.78x = 173,686,318.52
  5. Step 5: Solve for x
    x = 173,686,318.52/14,403.78
  6. Step 6: Final answer
    x = 12,058.38

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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.