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Finding the Fourth Proportional to 17,037.93, 23,512.14 and 9,484.14

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Solution

The fourth proportional to 17,037.93, 23,512.14 and 9,484.14 is: 13,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,037.93 : 23,512.14 = 9,484.14 : x
  2. Step 2: Convert to fraction form
    17,037.93/23,512.14 = 9,484.14/x
  3. Step 3: Cross multiply
    17,037.93x = 23,512.14 × 9,484.14
  4. Step 4: Simplify right side
    17,037.93x = 222,992,427.46
  5. Step 5: Solve for x
    x = 222,992,427.46/17,037.93
  6. Step 6: Final answer
    x = 13,088.00

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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.