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Finding the Fourth Proportional to 17,760.42, 24,508.98 and 9,803.40

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Solution

The fourth proportional to 17,760.42, 24,508.98 and 9,803.40 is: 13,528.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,760.42 : 24,508.98 = 9,803.40 : x
  2. Step 2: Convert to fraction form
    17,760.42/24,508.98 = 9,803.40/x
  3. Step 3: Cross multiply
    17,760.42x = 24,508.98 × 9,803.40
  4. Step 4: Simplify right side
    17,760.42x = 240,271,334.53
  5. Step 5: Solve for x
    x = 240,271,334.53/17,760.42
  6. Step 6: Final answer
    x = 13,528.47

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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.