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Finding the Fourth Proportional to 13,597.76, 20,356.80 and 10,323.68

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Solution

The fourth proportional to 13,597.76, 20,356.80 and 10,323.68 is: 15,455.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,597.76 : 20,356.80 = 10,323.68 : x
  2. Step 2: Convert to fraction form
    13,597.76/20,356.80 = 10,323.68/x
  3. Step 3: Cross multiply
    13,597.76x = 20,356.80 × 10,323.68
  4. Step 4: Simplify right side
    13,597.76x = 210,157,089.02
  5. Step 5: Solve for x
    x = 210,157,089.02/13,597.76
  6. Step 6: Final answer
    x = 15,455.27

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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.