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Finding the Fourth Proportional to 17,478.60, 24,120.60 and 10,403.64

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Solution

The fourth proportional to 17,478.60, 24,120.60 and 10,403.64 is: 14,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478.60 : 24,120.60 = 10,403.64 : x
  2. Step 2: Convert to fraction form
    17,478.60/24,120.60 = 10,403.64/x
  3. Step 3: Cross multiply
    17,478.60x = 24,120.60 × 10,403.64
  4. Step 4: Simplify right side
    17,478.60x = 250,942,038.98
  5. Step 5: Solve for x
    x = 250,942,038.98/17,478.60
  6. Step 6: Final answer
    x = 14,357.10

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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.