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Finding the Fourth Proportional to 17,539.96, 24,201.16 and 10,465

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Solution

The fourth proportional to 17,539.96, 24,201.16 and 10,465 is: 14,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,539.96 : 24,201.16 = 10,465 : x
  2. Step 2: Convert to fraction form
    17,539.96/24,201.16 = 10,465/x
  3. Step 3: Cross multiply
    17,539.96x = 24,201.16 × 10,465
  4. Step 4: Simplify right side
    17,539.96x = 253,265,139.40
  5. Step 5: Solve for x
    x = 253,265,139.40/17,539.96
  6. Step 6: Final answer
    x = 14,439.32

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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.