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Finding the Fourth Proportional to 17,607.60, 24,298.80 and 9,650.40

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Solution

The fourth proportional to 17,607.60, 24,298.80 and 9,650.40 is: 13,317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,607.60 : 24,298.80 = 9,650.40 : x
  2. Step 2: Convert to fraction form
    17,607.60/24,298.80 = 9,650.40/x
  3. Step 3: Cross multiply
    17,607.60x = 24,298.80 × 9,650.40
  4. Step 4: Simplify right side
    17,607.60x = 234,493,139.52
  5. Step 5: Solve for x
    x = 234,493,139.52/17,607.60
  6. Step 6: Final answer
    x = 13,317.72

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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.