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Finding the Fourth Proportional to 17,374.96, 23,977.47 and 9,417.12

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Solution

The fourth proportional to 17,374.96, 23,977.47 and 9,417.12 is: 12,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.96 : 23,977.47 = 9,417.12 : x
  2. Step 2: Convert to fraction form
    17,374.96/23,977.47 = 9,417.12/x
  3. Step 3: Cross multiply
    17,374.96x = 23,977.47 × 9,417.12
  4. Step 4: Simplify right side
    17,374.96x = 225,798,712.29
  5. Step 5: Solve for x
    x = 225,798,712.29/17,374.96
  6. Step 6: Final answer
    x = 12,995.64

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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.