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Finding the Fourth Proportional to 14,857.50, 20,503.86 and 10,018.74

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Solution

The fourth proportional to 14,857.50, 20,503.86 and 10,018.74 is: 13,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.50 : 20,503.86 = 10,018.74 : x
  2. Step 2: Convert to fraction form
    14,857.50/20,503.86 = 10,018.74/x
  3. Step 3: Cross multiply
    14,857.50x = 20,503.86 × 10,018.74
  4. Step 4: Simplify right side
    14,857.50x = 205,422,842.34
  5. Step 5: Solve for x
    x = 205,422,842.34/14,857.50
  6. Step 6: Final answer
    x = 13,826.21

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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.