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Finding the Fourth Proportional to 17,765.58, 24,516.16 and 9,807.64

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Solution

The fourth proportional to 17,765.58, 24,516.16 and 9,807.64 is: 13,534.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.58 : 24,516.16 = 9,807.64 : x
  2. Step 2: Convert to fraction form
    17,765.58/24,516.16 = 9,807.64/x
  3. Step 3: Cross multiply
    17,765.58x = 24,516.16 × 9,807.64
  4. Step 4: Simplify right side
    17,765.58x = 240,445,671.46
  5. Step 5: Solve for x
    x = 240,445,671.46/17,765.58
  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.