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Finding the Fourth Proportional to 14,876.88, 20,509.56 and 14,416.80

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Solution

The fourth proportional to 14,876.88, 20,509.56 and 14,416.80 is: 19,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.88 : 20,509.56 = 14,416.80 : x
  2. Step 2: Convert to fraction form
    14,876.88/20,509.56 = 14,416.80/x
  3. Step 3: Cross multiply
    14,876.88x = 20,509.56 × 14,416.80
  4. Step 4: Simplify right side
    14,876.88x = 295,682,224.61
  5. Step 5: Solve for x
    x = 295,682,224.61/14,876.88
  6. Step 6: Final answer
    x = 19,875.28

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1.5x scale

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.