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Finding the Fourth Proportional to 17,695.56, 24,419.50 and 9,737.64

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Solution

The fourth proportional to 17,695.56, 24,419.50 and 9,737.64 is: 13,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.56 : 24,419.50 = 9,737.64 : x
  2. Step 2: Convert to fraction form
    17,695.56/24,419.50 = 9,737.64/x
  3. Step 3: Cross multiply
    17,695.56x = 24,419.50 × 9,737.64
  4. Step 4: Simplify right side
    17,695.56x = 237,788,299.98
  5. Step 5: Solve for x
    x = 237,788,299.98/17,695.56
  6. Step 6: Final answer
    x = 13,437.74

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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.