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Finding the Fourth Proportional to 21,597.36, 32,368.50 and 9,738.42

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Solution

The fourth proportional to 21,597.36, 32,368.50 and 9,738.42 is: 14,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.36 : 32,368.50 = 9,738.42 : x
  2. Step 2: Convert to fraction form
    21,597.36/32,368.50 = 9,738.42/x
  3. Step 3: Cross multiply
    21,597.36x = 32,368.50 × 9,738.42
  4. Step 4: Simplify right side
    21,597.36x = 315,218,047.77
  5. Step 5: Solve for x
    x = 315,218,047.77/21,597.36
  6. Step 6: Final answer
    x = 14,595.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.