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Finding the Fourth Proportional to 14,496.93, 20,000.97 and 10,019.07

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Solution

The fourth proportional to 14,496.93, 20,000.97 and 10,019.07 is: 13,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.93 : 20,000.97 = 10,019.07 : x
  2. Step 2: Convert to fraction form
    14,496.93/20,000.97 = 10,019.07/x
  3. Step 3: Cross multiply
    14,496.93x = 20,000.97 × 10,019.07
  4. Step 4: Simplify right side
    14,496.93x = 200,391,118.50
  5. Step 5: Solve for x
    x = 200,391,118.50/14,496.93
  6. Step 6: Final answer
    x = 13,823.00

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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.