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Finding the Fourth Proportional to 15,889.95, 21,923.59 and 9,514.03

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Solution

The fourth proportional to 15,889.95, 21,923.59 and 9,514.03 is: 13,126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.95 : 21,923.59 = 9,514.03 : x
  2. Step 2: Convert to fraction form
    15,889.95/21,923.59 = 9,514.03/x
  3. Step 3: Cross multiply
    15,889.95x = 21,923.59 × 9,514.03
  4. Step 4: Simplify right side
    15,889.95x = 208,581,692.97
  5. Step 5: Solve for x
    x = 208,581,692.97/15,889.95
  6. Step 6: Final answer
    x = 13,126.64

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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.