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Finding the Fourth Proportional to 17,765.61, 24,516.24 and 9,807.63

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Solution

The fourth proportional to 17,765.61, 24,516.24 and 9,807.63 is: 13,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.61 : 24,516.24 = 9,807.63 : x
  2. Step 2: Convert to fraction form
    17,765.61/24,516.24 = 9,807.63/x
  3. Step 3: Cross multiply
    17,765.61x = 24,516.24 × 9,807.63
  4. Step 4: Simplify right side
    17,765.61x = 240,446,210.91
  5. Step 5: Solve for x
    x = 240,446,210.91/17,765.61
  6. Step 6: Final answer
    x = 13,534.36

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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.