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Finding the Fourth Proportional to 17,281.23, 23,848.64 and 9,829.71

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Solution

The fourth proportional to 17,281.23, 23,848.64 and 9,829.71 is: 13,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,281.23 : 23,848.64 = 9,829.71 : x
  2. Step 2: Convert to fraction form
    17,281.23/23,848.64 = 9,829.71/x
  3. Step 3: Cross multiply
    17,281.23x = 23,848.64 × 9,829.71
  4. Step 4: Simplify right side
    17,281.23x = 234,425,165.95
  5. Step 5: Solve for x
    x = 234,425,165.95/17,281.23
  6. Step 6: Final answer
    x = 13,565.31

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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.